52573994524800 has 960 divisors, whose sum is σ = 222345632361600. Its totient is φ = 11983291269120.

The previous prime is 52573994524759. The next prime is 52573994524811. The reversal of 52573994524800 is 842549937525.

52573994524800 is a `hidden beast` number, since 5 + 2 + 57 + 3 + 99 + 452 + 48 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 651329244 + ... + 651409956.

It is an arithmetic number, because the mean of its divisors is an integer number (231610033710).

Almost surely, 2^{52573994524800} is an apocalyptic number.

52573994524800 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 52573994524800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111172816180800).

52573994524800 is an abundant number, since it is smaller than the sum of its proper divisors (169771637836800).

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

52573994524800 is a wasteful number, since it uses less digits than its factorization.

52573994524800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81115 (or 81089 counting only the distinct ones).

The product of its (nonzero) digits is 108864000, while the sum is 63.

The spelling of 52573994524800 in words is "fifty-two trillion, five hundred seventy-three billion, nine hundred ninety-four million, five hundred twenty-four thousand, eight hundred".