225682026960 has 320 divisors, whose sum is σ = 770951655936. Its totient is φ = 54273024000.

The previous prime is 225682026929. The next prime is 225682026979. The reversal of 225682026960 is 69620286522.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 28734394 + ... + 28742246.

Almost surely, 2^225682026960 is an apocalyptic number.

225682026960 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 225682026960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385475827968).

225682026960 is an abundant number, since it is smaller than the sum of its proper divisors (545269628976).

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

225682026960 is a wasteful number, since it uses less digits than its factorization.

225682026960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8094 (or 8088 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 48.

The spelling of 225682026960 in words is "two hundred twenty-five billion, six hundred eighty-two million, twenty-six thousand, nine hundred sixty".