225580942080 has 432 divisors, whose sum is σ = 845772092256. Its totient is φ = 55180984320.

The previous prime is 225580942063. The next prime is 225580942087. The reversal of 225580942080 is 80249085522.

225580942080 is a `hidden beast` number, since 2 + 2 + 558 + 0 + 94 + 2 + 0 + 8 + 0 = 666.

It is a super-2 number, since 2×225580942080² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (225580942087) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24406260 + ... + 24415500.

Almost surely, 2^225580942080 is an apocalyptic number.

225580942080 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 225580942080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422886046128).

225580942080 is an abundant number, since it is smaller than the sum of its proper divisors (620191150176).

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

225580942080 is a wasteful number, since it uses less digits than its factorization.

225580942080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9444 (or 9427 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 225580942080 in words is "two hundred twenty-five billion, five hundred eighty million, nine hundred forty-two thousand, eighty".