225714527577120 has 96 divisors (see below), whose sum is σ = 726128437724928. Its totient is φ = 58909890879488.

The previous prime is 225714527577113. The next prime is 225714527577169. The reversal of 225714527577120 is 21775725417522.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5002515729 + ... + 5002560848.

It is an arithmetic number, because the mean of its divisors is an integer number (7563837892968).

Almost surely, 2^{225714527577120} is an apocalyptic number.

225714527577120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225714527577120 is an abundant number, since it is smaller than the sum of its proper divisors (500413910147808).

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

225714527577120 is a wasteful number, since it uses less digits than its factorization.

225714527577120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10005076642 (or 10005076634 counting only the distinct ones).

The product of its (nonzero) digits is 19208000, while the sum is 57.

The spelling of 225714527577120 in words is "two hundred twenty-five trillion, seven hundred fourteen billion, five hundred twenty-seven million, five hundred seventy-seven thousand, one hundred twenty".