52251129504000 has 1728 divisors, whose sum is σ = 220658591881728. Its totient is φ = 11625209856000.

The previous prime is 52251129503977. The next prime is 52251129504031. The reversal of 52251129504000 is 40592115225.

52251129504000 is a `hidden beast` number, since 5 + 2 + 25 + 1 + 129 + 504 + 0 + 0 + 0 = 666.

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 (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 13997086134 + ... + 13997089866.

It is an arithmetic number, because the mean of its divisors is an integer number (127695944376).

Almost surely, 2^{52251129504000} is an apocalyptic number.

52251129504000 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 52251129504000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110329295940864).

52251129504000 is an abundant number, since it is smaller than the sum of its proper divisors (168407462377728).

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

52251129504000 is a wasteful number, since it uses less digits than its factorization.

52251129504000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3961 (or 3934 counting only the distinct ones).

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

The spelling of 52251129504000 in words is "fifty-two trillion, two hundred fifty-one billion, one hundred twenty-nine million, five hundred four thousand".