52185215520 has 360 divisors, whose sum is σ = 195655180644. Its totient is φ = 13096525824.

The previous prime is 52185215513. The next prime is 52185215573. The reversal of 52185215520 is 2551258125.

52185215520 is a `hidden beast` number, since 5 + 2 + 1 + 85 + 21 + 552 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 50253085584 + 1932129936 = 224172^2 + 43956^2 .

It is a tau number, because it is divible by the number of its divisors (360).

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 59 ways as a sum of consecutive naturals, for example, 3738474 + ... + 3752406.

Almost surely, 2^52185215520 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 52185215520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97827590322).

52185215520 is an abundant number, since it is smaller than the sum of its proper divisors (143469965124).

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

52185215520 is a wasteful number, since it uses less digits than its factorization.

52185215520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13994 (or 13960 counting only the distinct ones).

The product of its (nonzero) digits is 40000, while the sum is 36.

The spelling of 52185215520 in words is "fifty-two billion, one hundred eighty-five million, two hundred fifteen thousand, five hundred twenty".