225692404459200 has 1008 divisors, whose sum is σ = 922508369026816. Its totient is φ = 51264318873600.

The previous prime is 225692404459111. The next prime is 225692404459213. The reversal of 225692404459200 is 2954404296522.

225692404459200 is a `hidden beast` number, since 2 + 2 + 5 + 6 + 9 + 2 + 4 + 0 + 44 + 592 + 0 + 0 = 666.

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

It is a super-2 number, since 2×225692404459200² (a number of 30 digits) contains 22 as substring.

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, 10640336595 + ... + 10640357805.

Almost surely, 2^{225692404459200} is an apocalyptic number.

225692404459200 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 225692404459200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461254184513408).

225692404459200 is an abundant number, since it is smaller than the sum of its proper divisors (696815964567616).

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

225692404459200 is a wasteful number, since it uses less digits than its factorization.

225692404459200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21902 (or 21884 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 54.

The spelling of 225692404459200 in words is "two hundred twenty-five trillion, six hundred ninety-two billion, four hundred four million, four hundred fifty-nine thousand, two hundred".