52724534400 has 576 divisors, whose sum is σ = 201173586120. Its totient is φ = 13101957120.

The previous prime is 52724534399. The next prime is 52724534413. The reversal of 52724534400 is 443542725.

52724534400 is a `hidden beast` number, since 5 + 2 + 7 + 245 + 3 + 4 + 400 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 48776256 + 52675758144 = 6984^2 + 229512^2 .

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 (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 55324324 + ... + 55325276.

Almost surely, 2^52724534400 is an apocalyptic number.

52724534400 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 52724534400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100586793060).

52724534400 is an abundant number, since it is smaller than the sum of its proper divisors (148449051720).

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

52724534400 is a wasteful number, since it uses less digits than its factorization.

52724534400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1113 (or 1093 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 36.

The spelling of 52724534400 in words is "fifty-two billion, seven hundred twenty-four million, five hundred thirty-four thousand, four hundred".