56958305760 has 144 divisors (see below), whose sum is σ = 201569252976. Its totient is φ = 15188871168.

The previous prime is 56958305759. The next prime is 56958305777. The reversal of 56958305760 is 6750385965.

56958305760 is a `hidden beast` number, since 5 + 6 + 9 + 583 + 0 + 57 + 6 + 0 = 666.

56958305760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

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 = 56958305697 and 56958305706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 693609 + ... + 771368.

It is an arithmetic number, because the mean of its divisors is an integer number (1399786479).

Almost surely, 2^56958305760 is an apocalyptic number.

It is an amenable number.

56958305760 is an abundant number, since it is smaller than the sum of its proper divisors (144610947216).

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

56958305760 is a wasteful number, since it uses less digits than its factorization.

56958305760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1465007 (or 1464987 counting only the distinct ones).

The product of its (nonzero) digits is 6804000, while the sum is 54.

The spelling of 56958305760 in words is "fifty-six billion, nine hundred fifty-eight million, three hundred five thousand, seven hundred sixty".