20073114610560 has 2048 divisors, whose sum is σ = 84758126284800. Its totient is φ = 4490442178560.

The previous prime is 20073114610559. The next prime is 20073114610561. The reversal of 20073114610560 is 6501641137002.

20073114610560 is a `hidden beast` number, since 2 + 0 + 0 + 7 + 31 + 1 + 4 + 61 + 0 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (20073114610559) and next prime (20073114610561).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20073114610561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 13872227757 + ... + 13872229203.

It is an arithmetic number, because the mean of its divisors is an integer number (41385803850).

Almost surely, 2^{20073114610560} is an apocalyptic number.

20073114610560 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 20073114610560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42379063142400).

20073114610560 is an abundant number, since it is smaller than the sum of its proper divisors (64685011674240).

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

20073114610560 is a wasteful number, since it uses less digits than its factorization.

20073114610560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1568 (or 1538 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

Adding to 20073114610560 its reverse (6501641137002), we get a palindrome (26574755747562).

The spelling of 20073114610560 in words is "twenty trillion, seventy-three billion, one hundred fourteen million, six hundred ten thousand, five hundred sixty".