225870732891360 has 720 divisors, whose sum is σ = 804919402281456. Its totient is φ = 59649213431808.

The previous prime is 225870732891329. The next prime is 225870732891371. The reversal of 225870732891360 is 63198237078522.

225870732891360 is a `hidden beast` number, since 2 + 2 + 58 + 70 + 73 + 2 + 8 + 91 + 360 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×225870732891360² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 112766216119 + ... + 112766218121.

Almost surely, 2^{225870732891360} is an apocalyptic number.

225870732891360 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 225870732891360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402459701140728).

225870732891360 is an abundant number, since it is smaller than the sum of its proper divisors (579048669390096).

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

225870732891360 is a wasteful number, since it uses less digits than its factorization.

225870732891360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2697 (or 2523 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 63.

The spelling of 225870732891360 in words is "two hundred twenty-five trillion, eight hundred seventy billion, seven hundred thirty-two million, eight hundred ninety-one thousand, three hundred sixty".