225718758720 has 1008 divisors, whose sum is σ = 989040478608. Its totient is φ = 46820229120.

The previous prime is 225718758647. The next prime is 225718758827. The reversal of 225718758720 is 27857817522.

It is a happy number.

225718758720 is a `hidden beast` number, since 2 + 2 + 57 + 1 + 8 + 7 + 587 + 2 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 30644603136 + 195074155584 = 175056^2 + 441672^2 .

It is a tau number, because it is divible by the number of its divisors (1008).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 111907152 + ... + 111909168.

It is an arithmetic number, because the mean of its divisors is an integer number (981190951).

Almost surely, 2^225718758720 is an apocalyptic number.

225718758720 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 225718758720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494520239304).

225718758720 is an abundant number, since it is smaller than the sum of its proper divisors (763321719888).

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

225718758720 is a wasteful number, since it uses less digits than its factorization.

225718758720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2128 (or 2108 counting only the distinct ones).

The product of its (nonzero) digits is 4390400, while the sum is 54.

The spelling of 225718758720 in words is "two hundred twenty-five billion, seven hundred eighteen million, seven hundred fifty-eight thousand, seven hundred twenty".