52188500008680 has 512 divisors, whose sum is σ = 186403921920000. Its totient is φ = 11438140170240.

The previous prime is 52188500008657. The next prime is 52188500008691. The reversal of 52188500008680 is 8680000588125.

52188500008680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1586887197 + ... + 1586920083.

It is an arithmetic number, because the mean of its divisors is an integer number (364070160000).

Almost surely, 2^{52188500008680} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52188500008680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93201960960000).

52188500008680 is an abundant number, since it is smaller than the sum of its proper divisors (134215421911320).

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

52188500008680 is a wasteful number, since it uses less digits than its factorization.

52188500008680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33497 (or 33493 counting only the distinct ones).

The product of its (nonzero) digits is 1228800, while the sum is 51.

The spelling of 52188500008680 in words is "fifty-two trillion, one hundred eighty-eight billion, five hundred million, eight thousand, six hundred eighty".