20080967592960 has 1056 divisors, whose sum is σ = 77726614597632. Its totient is φ = 4956653813760.

The previous prime is 20080967592953. The next prime is 20080967592979. The reversal of 20080967592960 is 6929576908002.

20080967592960 is a `hidden beast` number, since 200 + 8 + 0 + 96 + 7 + 59 + 296 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 887074762 + ... + 887097398.

It is an arithmetic number, because the mean of its divisors is an integer number (73604748672).

Almost surely, 2^{20080967592960} is an apocalyptic number.

20080967592960 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 20080967592960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38863307298816).

20080967592960 is an abundant number, since it is smaller than the sum of its proper divisors (57645647004672).

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

20080967592960 is a wasteful number, since it uses less digits than its factorization.

20080967592960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22731 (or 22701 counting only the distinct ones).

The product of its (nonzero) digits is 29393280, while the sum is 63.

The spelling of 20080967592960 in words is "twenty trillion, eighty billion, nine hundred sixty-seven million, five hundred ninety-two thousand, nine hundred sixty".