225560257320 has 128 divisors (see below), whose sum is σ = 679330800000. Its totient is φ = 59914223616.

The previous prime is 225560257319. The next prime is 225560257339. The reversal of 225560257320 is 23752065522.

225560257320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×225560257320² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52006192 + ... + 52010528.

It is an arithmetic number, because the mean of its divisors is an integer number (5307271875).

Almost surely, 2^225560257320 is an apocalyptic number.

225560257320 is a gapful number since it is divisible by the number (20) 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 225560257320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339665400000).

225560257320 is an abundant number, since it is smaller than the sum of its proper divisors (453770542680).

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

225560257320 is a wasteful number, since it uses less digits than its factorization.

225560257320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5947 (or 5943 counting only the distinct ones).

The product of its (nonzero) digits is 252000, while the sum is 39.

The spelling of 225560257320 in words is "two hundred twenty-five billion, five hundred sixty million, two hundred fifty-seven thousand, three hundred twenty".