56347099200 has 1260 divisors, whose sum is σ = 254156657040. Its totient is φ = 12175349760.

The previous prime is 56347099177. The next prime is 56347099229. The reversal of 56347099200 is 299074365.

It is a happy number.

56347099200 is a `hidden beast` number, since 5 + 634 + 7 + 0 + 9 + 9 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1260).

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

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 120657367 + ... + 120657833.

Almost surely, 2^56347099200 is an apocalyptic number.

56347099200 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 56347099200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127078328520).

56347099200 is an abundant number, since it is smaller than the sum of its proper divisors (197809557840).

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

56347099200 is a wasteful number, since it uses less digits than its factorization.

56347099200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 534 (or 503 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 56347099200 in words is "fifty-six billion, three hundred forty-seven million, ninety-nine thousand, two hundred".