56955104640 has 1280 divisors, whose sum is σ = 246824202240. Its totient is φ = 12242534400.

The previous prime is 56955104623. The next prime is 56955104651. The reversal of 56955104640 is 4640155965.

56955104640 is a `hidden beast` number, since 5 + 6 + 95 + 510 + 4 + 6 + 40 = 666.

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 polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 686206039 + ... + 686206121.

It is an arithmetic number, because the mean of its divisors is an integer number (192831408).

Almost surely, 2^56955104640 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 56955104640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123412101120).

56955104640 is an abundant number, since it is smaller than the sum of its proper divisors (189869097600).

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

56955104640 is a wasteful number, since it uses less digits than its factorization.

56955104640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The spelling of 56955104640 in words is "fifty-six billion, nine hundred fifty-five million, one hundred four thousand, six hundred forty".