56430595800 has 288 divisors, whose sum is σ = 197191188480. Its totient is φ = 14446252800.

The previous prime is 56430595799. The next prime is 56430595801. The reversal of 56430595800 is 859503465.

56430595800 is a `hidden beast` number, since 5 + 64 + 3 + 0 + 5 + 9 + 580 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (56430595799) and next prime (56430595801).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56430595801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7082619 + ... + 7090581.

Almost surely, 2^56430595800 is an apocalyptic number.

56430595800 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 56430595800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98595594240).

56430595800 is an abundant number, since it is smaller than the sum of its proper divisors (140760592680).

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

56430595800 is a wasteful number, since it uses less digits than its factorization.

56430595800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8143 (or 8131 counting only the distinct ones).

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

The spelling of 56430595800 in words is "fifty-six billion, four hundred thirty million, five hundred ninety-five thousand, eight hundred".