225578661212160 has 520 divisors, whose sum is σ = 856209866892336. Its totient is φ = 56615813775360.

The previous prime is 225578661212159. The next prime is 225578661212167. The reversal of 225578661212160 is 61212166875522.

225578661212160 is a `hidden beast` number, since 2 + 2 + 5 + 5 + 7 + 8 + 6 + 612 + 1 + 2 + 16 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 225578661212097 and 225578661212106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225578661212167) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 24201475 + ... + 32200445.

Almost surely, 2^{225578661212160} is an apocalyptic number.

225578661212160 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 225578661212160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428104933446168).

225578661212160 is an abundant number, since it is smaller than the sum of its proper divisors (630631205680176).

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

225578661212160 is an equidigital number, since it uses as much as digits as its factorization.

225578661212160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7999029 (or 7998998 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 225578661212160 in words is "two hundred twenty-five trillion, five hundred seventy-eight billion, six hundred sixty-one million, two hundred twelve thousand, one hundred sixty".