56844518400 has 792 divisors, whose sum is σ = 225228691584. Its totient is φ = 13624934400.

The previous prime is 56844518323. The next prime is 56844518431. The reversal of 56844518400 is 481544865.

It is a happy number.

56844518400 is a `hidden beast` number, since 56 + 8 + 44 + 518 + 40 + 0 = 666.

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 71 ways as a sum of consecutive naturals, for example, 90086085 + ... + 90086715.

Almost surely, 2^56844518400 is an apocalyptic number.

56844518400 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 56844518400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112614345792).

56844518400 is an abundant number, since it is smaller than the sum of its proper divisors (168384173184).

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

56844518400 is a wasteful number, since it uses less digits than its factorization.

56844518400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 707 (or 681 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 45.

The spelling of 56844518400 in words is "fifty-six billion, eight hundred forty-four million, five hundred eighteen thousand, four hundred".