56417617600 has 84 divisors (see below), whose sum is σ = 138907722184. Its totient is φ = 22553210880.

The previous prime is 56417617561. The next prime is 56417617673. The reversal of 56417617600 is 671671465.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2833279 + ... + 2853121.

Almost surely, 2^56417617600 is an apocalyptic number.

56417617600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56417617600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69453861092).

56417617600 is an abundant number, since it is smaller than the sum of its proper divisors (82490104584).

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

56417617600 is a wasteful number, since it uses less digits than its factorization.

56417617600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21642 (or 21627 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 43.

The spelling of 56417617600 in words is "fifty-six billion, four hundred seventeen million, six hundred seventeen thousand, six hundred".