56749928400 has 360 divisors, whose sum is σ = 222802760544. Its totient is φ = 13757299200.

The previous prime is 56749928383. The next prime is 56749928449. The reversal of 56749928400 is 482994765.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 1042662 + ... + 1095738.

Almost surely, 2^56749928400 is an apocalyptic number.

56749928400 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 56749928400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111401380272).

56749928400 is an abundant number, since it is smaller than the sum of its proper divisors (166052832144).

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

56749928400 is a wasteful number, since it uses less digits than its factorization.

56749928400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53121 (or 53098 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 56749928400 in words is "fifty-six billion, seven hundred forty-nine million, nine hundred twenty-eight thousand, four hundred".