53512074528 has 288 divisors, whose sum is σ = 162901186560. Its totient is φ = 15222704640.

The previous prime is 53512074491. The next prime is 53512074557. The reversal of 53512074528 is 82547021535.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 53512074528.

It is a congruent number.

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, 320431501 + ... + 320431667.

It is an arithmetic number, because the mean of its divisors is an integer number (565629120).

Almost surely, 2^53512074528 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 53512074528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81450593280).

53512074528 is an abundant number, since it is smaller than the sum of its proper divisors (109389112032).

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

53512074528 is a wasteful number, since it uses less digits than its factorization.

53512074528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 336000, while the sum is 42.

The spelling of 53512074528 in words is "fifty-three billion, five hundred twelve million, seventy-four thousand, five hundred twenty-eight".