52072957762560 has 1760 divisors, whose sum is σ = 215715863227392. Its totient is φ = 11766210232320.

The previous prime is 52072957762549. The next prime is 52072957762667. The reversal of 52072957762560 is 6526775927025.

52072957762560 is a `hidden beast` number, since 5 + 2 + 0 + 7 + 2 + 9 + 5 + 7 + 7 + 62 + 560 = 666.

It is a super-2 number, since 2×52072957762560² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 184003384179 + ... + 184003384461.

Almost surely, 2^{52072957762560} 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 52072957762560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107857931613696).

52072957762560 is an abundant number, since it is smaller than the sum of its proper divisors (163642905464832).

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

52072957762560 is a wasteful number, since it uses less digits than its factorization.

52072957762560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 831 (or 804 counting only the distinct ones).

The product of its (nonzero) digits is 111132000, while the sum is 63.

The spelling of 52072957762560 in words is "fifty-two trillion, seventy-two billion, nine hundred fifty-seven million, seven hundred sixty-two thousand, five hundred sixty".