8721250560 has 432 divisors, whose sum is σ = 34150334400. Its totient is φ = 2113413120.

The previous prime is 8721250523. The next prime is 8721250579. The reversal of 8721250560 is 650521278.

It is a happy number.

8721250560 is a `hidden beast` number, since 8 + 72 + 1 + 25 + 0 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×8721250560² (a number of 21 digits) contains 22 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 47 ways as a sum of consecutive naturals, for example, 3420166 + ... + 3422714.

It is an arithmetic number, because the mean of its divisors is an integer number (79051700).

Almost surely, 2^8721250560 is an apocalyptic number.

8721250560 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 8721250560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17075167200).

8721250560 is an abundant number, since it is smaller than the sum of its proper divisors (25429083840).

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

8721250560 is a wasteful number, since it uses less digits than its factorization.

8721250560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2596 (or 2570 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 8721250560 is about 93387.6360124829. The cubic root of 8721250560 is about 2058.3833232717.

The spelling of 8721250560 in words is "eight billion, seven hundred twenty-one million, two hundred fifty thousand, five hundred sixty".