53872000560 has 320 divisors, whose sum is σ = 212353075200. Its totient is φ = 12297028608.

The previous prime is 53872000547. The next prime is 53872000571. The reversal of 53872000560 is 6500027835.

53872000560 is a `hidden beast` number, since 538 + 72 + 0 + 0 + 0 + 56 + 0 = 666.

It is a super-3 number, since 3×53872000560³ (a number of 33 digits) contains 333 as substring.

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 63 ways as a sum of consecutive naturals, for example, 13893342 + ... + 13897218.

It is an arithmetic number, because the mean of its divisors is an integer number (663603360).

Almost surely, 2^53872000560 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 53872000560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106176537600).

53872000560 is an abundant number, since it is smaller than the sum of its proper divisors (158481074640).

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

53872000560 is a wasteful number, since it uses less digits than its factorization.

53872000560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4825 (or 4813 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 53872000560 in words is "fifty-three billion, eight hundred seventy-two million, five hundred sixty", and thus it is an aban number.