56412579600 has 600 divisors, whose sum is σ = 221399024000. Its totient is φ = 13672074240.

The previous prime is 56412579593. The next prime is 56412579611. The reversal of 56412579600 is 697521465.

56412579600 is a `hidden beast` number, since 5 + 6 + 4 + 12 + 579 + 60 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (600).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 28219401 + ... + 28221399.

Almost surely, 2^56412579600 is an apocalyptic number.

56412579600 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 56412579600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110699512000).

56412579600 is an abundant number, since it is smaller than the sum of its proper divisors (164986444400).

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

56412579600 is a wasteful number, since it uses less digits than its factorization.

56412579600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2109 (or 2089 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 56412579600 in words is "fifty-six billion, four hundred twelve million, five hundred seventy-nine thousand, six hundred".