56434133600 has 72 divisors (see below), whose sum is σ = 148367535120. Its totient is φ = 20837214720.

The previous prime is 56434133593. The next prime is 56434133611. The reversal of 56434133600 is 633143465.

It is a super-2 number, since 2×56434133600² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

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, 2702780 + ... + 2723579.

It is an arithmetic number, because the mean of its divisors is an integer number (2060660210).

Almost surely, 2^56434133600 is an apocalyptic number.

56434133600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

56434133600 is an abundant number, since it is smaller than the sum of its proper divisors (91933401520).

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

56434133600 is a wasteful number, since it uses less digits than its factorization.

56434133600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5426392 (or 5426379 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 35.

The spelling of 56434133600 in words is "fifty-six billion, four hundred thirty-four million, one hundred thirty-three thousand, six hundred".