56434488000 has 448 divisors, whose sum is σ = 204360938496. Its totient is φ = 13608960000.

The previous prime is 56434487987. The next prime is 56434488023. The reversal of 56434488000 is 88443465.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 63623557 + ... + 63624443.

Almost surely, 2^56434488000 is an apocalyptic number.

56434488000 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 56434488000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102180469248).

56434488000 is an abundant number, since it is smaller than the sum of its proper divisors (147926450496).

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

56434488000 is a wasteful number, since it uses less digits than its factorization.

56434488000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1169 (or 1149 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 42.

The spelling of 56434488000 in words is "fifty-six billion, four hundred thirty-four million, four hundred eighty-eight thousand".