225690928320 has 1344 divisors, whose sum is σ = 922405169664. Its totient is φ = 46159626240.

The previous prime is 225690928319. The next prime is 225690928339. The reversal of 225690928320 is 23829096522.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 225690928320.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1304571754 + ... + 1304571926.

Almost surely, 2^225690928320 is an apocalyptic number.

225690928320 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 225690928320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461202584832).

225690928320 is an abundant number, since it is smaller than the sum of its proper divisors (696714241344).

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

225690928320 is a wasteful number, since it uses less digits than its factorization.

225690928320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 48.

The spelling of 225690928320 in words is "two hundred twenty-five billion, six hundred ninety million, nine hundred twenty-eight thousand, three hundred twenty".