52201513728 has 432 divisors, whose sum is σ = 186075425536. Its totient is φ = 13705666560.

The previous prime is 52201513711. The next prime is 52201513813. The reversal of 52201513728 is 82731510225.

52201513728 is a `hidden beast` number, since 52 + 20 + 1 + 513 + 72 + 8 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 52201513692 and 52201513701.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 64366443 + ... + 64367253.

Almost surely, 2^52201513728 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 52201513728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93037712768).

52201513728 is an abundant number, since it is smaller than the sum of its proper divisors (133873911808).

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

52201513728 is a wasteful number, since it uses less digits than its factorization.

52201513728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1160 (or 1143 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The spelling of 52201513728 in words is "fifty-two billion, two hundred one million, five hundred thirteen thousand, seven hundred twenty-eight".