872560750320 has 480 divisors, whose sum is σ = 3632471256960. Its totient is φ = 183131504640.

The previous prime is 872560750211. The next prime is 872560750333. The reversal of 872560750320 is 23057065278.

872560750320 is a `hidden beast` number, since 8 + 7 + 2 + 5 + 607 + 5 + 0 + 32 + 0 = 666.

872560750320 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 2×872560750320² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3388686 + ... + 3637074.

It is an arithmetic number, because the mean of its divisors is an integer number (7567648452).

Almost surely, 2^872560750320 is an apocalyptic number.

872560750320 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 872560750320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1816235628480).

872560750320 is an abundant number, since it is smaller than the sum of its proper divisors (2759910506640).

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

872560750320 is a wasteful number, since it uses less digits than its factorization.

872560750320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248473 (or 248464 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The spelling of 872560750320 in words is "eight hundred seventy-two billion, five hundred sixty million, seven hundred fifty thousand, three hundred twenty".