52501251924000 has 1440 divisors, whose sum is σ = 212190144566400. Its totient is φ = 12704605056000.

The previous prime is 52501251923993. The next prime is 52501251924041. The reversal of 52501251924000 is 42915210525.

52501251924000 is a `hidden beast` number, since 5 + 2 + 50 + 12 + 5 + 192 + 400 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 33676235221 + ... + 33676236779.

It is an arithmetic number, because the mean of its divisors is an integer number (147354267060).

Almost surely, 2^{52501251924000} is an apocalyptic number.

52501251924000 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 52501251924000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106095072283200).

52501251924000 is an abundant number, since it is smaller than the sum of its proper divisors (159688892642400).

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

52501251924000 is a wasteful number, since it uses less digits than its factorization.

52501251924000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2477 (or 2439 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The spelling of 52501251924000 in words is "fifty-two trillion, five hundred one billion, two hundred fifty-one million, nine hundred twenty-four thousand".