56905390080 has 1296 divisors, whose sum is σ = 257268145680. Its totient is φ = 11824496640.

The previous prime is 56905390027. The next prime is 56905390117. The reversal of 56905390080 is 8009350965.

56905390080 is a `hidden beast` number, since 569 + 0 + 5 + 3 + 9 + 0 + 0 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 5173217275 + ... + 5173217285.

Almost surely, 2^56905390080 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 56905390080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128634072840).

56905390080 is an abundant number, since it is smaller than the sum of its proper divisors (200362755600).

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

56905390080 is an frugal number, since it uses more digits than its factorization.

56905390080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

It can be divided in two parts, 56905 and 390080, that added together give a triangular number (446985 = T₉₄₅).

The spelling of 56905390080 in words is "fifty-six billion, nine hundred five million, three hundred ninety thousand, eighty".