52523987059200 has 960 divisors, whose sum is σ = 192861153239040. Its totient is φ = 12540739584000.

The previous prime is 52523987059199. The next prime is 52523987059253. The reversal of 52523987059200 is 295078932525.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1193949205 + ... + 1193993195.

It is an arithmetic number, because the mean of its divisors is an integer number (200897034624).

Almost surely, 2^{52523987059200} is an apocalyptic number.

52523987059200 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 52523987059200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96430576619520).

52523987059200 is an abundant number, since it is smaller than the sum of its proper divisors (140337166179840).

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

52523987059200 is a wasteful number, since it uses less digits than its factorization.

52523987059200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44129 (or 44108 counting only the distinct ones).

The product of its (nonzero) digits is 13608000, while the sum is 57.

The spelling of 52523987059200 in words is "fifty-two trillion, five hundred twenty-three billion, nine hundred eighty-seven million, fifty-nine thousand, two hundred".