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20655707056560 = 24335371391859387
BaseRepresentation
bin1001011001001010010000…
…00101001110100110110000
32201010122222201222020121000
410230211020011032212300
510201410342001302220
6111533033440002000
74231216451031342
oct454451005164660
981118881866530
1020655707056560
11664404415a754
12239726a600300
13b6aa9517cab4
14515a54b87292
1525c480618390
hex12c94814e9b0

20655707056560 has 320 divisors, whose sum is σ = 73596064550400. Its totient is φ = 5320759477248.

The previous prime is 20655707056519. The next prime is 20655707056601. The reversal of 20655707056560 is 6565070755602.

It is a happy number.

20655707056560 is a `hidden beast` number, since 2 + 0 + 6 + 5 + 5 + 7 + 0 + 70 + 5 + 6 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (20655707056519) and next prime (20655707056601).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 20655707056497 and 20655707056506.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10179187 + ... + 12038573.

It is an arithmetic number, because the mean of its divisors is an integer number (229987701720).

Almost surely, 220655707056560 is an apocalyptic number.

20655707056560 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 20655707056560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36798032275200).

20655707056560 is an abundant number, since it is smaller than the sum of its proper divisors (52940357493840).

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

20655707056560 is a wasteful number, since it uses less digits than its factorization.

20655707056560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1859585 (or 1859573 counting only the distinct ones).

The product of its (nonzero) digits is 13230000, while the sum is 54.

The spelling of 20655707056560 in words is "twenty trillion, six hundred fifty-five billion, seven hundred seven million, fifty-six thousand, five hundred sixty".