56149718400 has 576 divisors, whose sum is σ = 209522214720. Its totient is φ = 14847805440.

The previous prime is 56149718393. The next prime is 56149718413. The reversal of 56149718400 is 481794165.

56149718400 is a `hidden beast` number, since 561 + 4 + 9 + 7 + 1 + 84 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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, 126748579 + ... + 126749021.

It is an arithmetic number, because the mean of its divisors is an integer number (363753845).

Almost surely, 2^56149718400 is an apocalyptic number.

56149718400 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 56149718400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104761107360).

56149718400 is an abundant number, since it is smaller than the sum of its proper divisors (153372496320).

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

56149718400 is a wasteful number, since it uses less digits than its factorization.

56149718400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 645 (or 616 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 56149718400 in words is "fifty-six billion, one hundred forty-nine million, seven hundred eighteen thousand, four hundred".