225057205583712 has 960 divisors, whose sum is σ = 713668279927680. Its totient is φ = 69410525184000.

The previous prime is 225057205583701. The next prime is 225057205583723. The reversal of 225057205583712 is 217385502750522.

225057205583712 is a `hidden beast` number, since 2 + 2 + 5 + 0 + 5 + 72 + 0 + 558 + 3 + 7 + 12 = 666.

It is an interprime number because it is at equal distance from previous prime (225057205583701) and next prime (225057205583723).

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 159 ways as a sum of consecutive naturals, for example, 118388849962 + ... + 118388851862.

It is an arithmetic number, because the mean of its divisors is an integer number (743404458258).

Almost surely, 2^{225057205583712} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225057205583712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356834139963840).

225057205583712 is an abundant number, since it is smaller than the sum of its proper divisors (488611074343968).

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

225057205583712 is a wasteful number, since it uses less digits than its factorization.

225057205583712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2509 (or 2492 counting only the distinct ones).

The product of its (nonzero) digits is 11760000, while the sum is 54.

The spelling of 225057205583712 in words is "two hundred twenty-five trillion, fifty-seven billion, two hundred five million, five hundred eighty-three thousand, seven hundred twelve".