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20680060320000 = 28335431307503
BaseRepresentation
bin1001011001110111100111…
…01001100011100100000000
32201012222211221221012122000
410230323303221203210000
510202310230420220000
6111552142154544000
74233041113250364
oct454736351434400
981188757835560
1020680060320000
116653400a16a54
12239bb26438000
13b70176705853
14516cc529d2a4
1525ce0863a000
hex12cef3a63900

20680060320000 has 1440 divisors, whose sum is σ = 79298168463360. Its totient is φ = 5308830720000.

The previous prime is 20680060319987. The next prime is 20680060320013. The reversal of 20680060320000 is 2306008602.

20680060320000 is a `hidden beast` number, since 206 + 80 + 0 + 60 + 320 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (20680060319987) and next prime (20680060320013).

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 41113439749 + ... + 41113440251.

It is an arithmetic number, because the mean of its divisors is an integer number (55068172544).

Almost surely, 220680060320000 is an apocalyptic number.

20680060320000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20680060320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39649084231680).

20680060320000 is an abundant number, since it is smaller than the sum of its proper divisors (58618108143360).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20680060320000 is an equidigital number, since it uses as much as digits as its factorization.

20680060320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 886 (or 851 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 20680060320000 its reverse (2306008602), we get a palindrome (20682366328602).

The spelling of 20680060320000 in words is "twenty trillion, six hundred eighty billion, sixty million, three hundred twenty thousand".