52088019984 has 1215 divisors, whose sum is σ = 213013735389. Its totient is φ = 11831339520.

The previous prime is 52088019967. The next prime is 52088020007. The reversal of 52088019984 is 48991088025.

The square root of 52088019984 is 228228.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 7705328400 + 44382691584 = 87780^2 + 210672^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 52088019984.

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 2741474727 + ... + 2741474745.

Almost surely, 2^52088019984 is an apocalyptic number.

52088019984 is the 228228-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52088019984

52088019984 is an abundant number, since it is smaller than the sum of its proper divisors (160925715405).

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

52088019984 is a wasteful number, since it uses less digits than its factorization.

52088019984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 54.

The spelling of 52088019984 in words is "fifty-two billion, eighty-eight million, nineteen thousand, nine hundred eighty-four".