872597200560 has 320 divisors, whose sum is σ = 2945897164800. Its totient is φ = 212994310144.

The previous prime is 872597200529. The next prime is 872597200567. The reversal of 872597200560 is 65002795278.

872597200560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×872597200560² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (872597200567) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18064921 + ... + 18113159.

It is an arithmetic number, because the mean of its divisors is an integer number (9205928640).

Almost surely, 2^872597200560 is an apocalyptic number.

872597200560 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 872597200560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1472948582400).

872597200560 is an abundant number, since it is smaller than the sum of its proper divisors (2073299964240).

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

872597200560 is a wasteful number, since it uses less digits than its factorization.

872597200560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48420 (or 48414 counting only the distinct ones).

The product of its (nonzero) digits is 2116800, while the sum is 51.

The spelling of 872597200560 in words is "eight hundred seventy-two billion, five hundred ninety-seven million, two hundred thousand, five hundred sixty".