56505991006080 has 3072 divisors, whose sum is σ = 255162286080000. Its totient is φ = 11418608517120.

The previous prime is 56505991006037. The next prime is 56505991006093. The reversal of 56505991006080 is 8060019950565.

56505991006080 is a `hidden beast` number, since 56 + 505 + 9 + 9 + 1 + 0 + 0 + 6 + 0 + 80 = 666.

It is a congruent number.

It is an unprimeable number.

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 383 ways as a sum of consecutive naturals, for example, 162841472467 + ... + 162841472813.

It is an arithmetic number, because the mean of its divisors is an integer number (83060640000).

Almost surely, 2^{56505991006080} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56505991006080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127581143040000).

56505991006080 is an abundant number, since it is smaller than the sum of its proper divisors (198656295073920).

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

56505991006080 is a wasteful number, since it uses less digits than its factorization.

56505991006080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 590 (or 561 counting only the distinct ones).

The product of its (nonzero) digits is 2916000, while the sum is 54.

The spelling of 56505991006080 in words is "fifty-six trillion, five hundred five billion, nine hundred ninety-one million, six thousand, eighty".