56958020640 has 960 divisors, whose sum is σ = 225250502400. Its totient is φ = 13488685056.

The previous prime is 56958020611. The next prime is 56958020641. The reversal of 56958020640 is 4602085965.

56958020640 is a `hidden beast` number, since 5 + 6 + 9 + 580 + 2 + 0 + 64 + 0 = 666.

It is a super-2 number, since 2×56958020640² (a number of 22 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (56958020641) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 504053224 + ... + 504053336.

It is an arithmetic number, because the mean of its divisors is an integer number (234635940).

Almost surely, 2^56958020640 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 56958020640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112625251200).

56958020640 is an abundant number, since it is smaller than the sum of its proper divisors (168292481760).

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

56958020640 is a wasteful number, since it uses less digits than its factorization.

56958020640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 56958020640 in words is "fifty-six billion, nine hundred fifty-eight million, twenty thousand, six hundred forty".