225735455712600 has 192 divisors, whose sum is σ = 779156487936000. Its totient is φ = 60070450435200.

The previous prime is 225735455712587. The next prime is 225735455712623. The reversal of 225735455712600 is 6217554537522.

225735455712600 is a `hidden beast` number, since 2 + 2 + 5 + 7 + 3 + 5 + 4 + 5 + 571 + 2 + 60 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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, 41048956 + ... + 46222155.

It is an arithmetic number, because the mean of its divisors is an integer number (4058106708000).

Almost surely, 2^{225735455712600} is an apocalyptic number.

225735455712600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225735455712600 is an abundant number, since it is smaller than the sum of its proper divisors (553421032223400).

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

225735455712600 is a wasteful number, since it uses less digits than its factorization.

225735455712600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87271615 (or 87271600 counting only the distinct ones).

The product of its (nonzero) digits is 17640000, while the sum is 54.

The spelling of 225735455712600 in words is "two hundred twenty-five trillion, seven hundred thirty-five billion, four hundred fifty-five million, seven hundred twelve thousand, six hundred".