56953632960 has 504 divisors, whose sum is σ = 229181412096. Its totient is φ = 12943687680.

The previous prime is 56953632943. The next prime is 56953632961. The reversal of 56953632960 is 6923635965.

56953632960 is a `hidden beast` number, since 569 + 53 + 6 + 3 + 29 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a junction number, because it is equal to n+sod(n) for n = 56953632897 and 56953632906.

It is not an unprimeable number, because it can be changed into a prime (56953632961) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 26952864 + ... + 26954976.

It is an arithmetic number, because the mean of its divisors is an integer number (454725024).

Almost surely, 2^56953632960 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 56953632960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114590706048).

56953632960 is an abundant number, since it is smaller than the sum of its proper divisors (172227779136).

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

56953632960 is a wasteful number, since it uses less digits than its factorization.

56953632960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2341 (or 2321 counting only the distinct ones).

The product of its (nonzero) digits is 7873200, while the sum is 54.

The spelling of 56953632960 in words is "fifty-six billion, nine hundred fifty-three million, six hundred thirty-two thousand, nine hundred sixty".