225074572920 has 192 divisors, whose sum is σ = 775281780000. Its totient is φ = 56433844224.

The previous prime is 225074572859. The next prime is 225074572949. The reversal of 225074572920 is 29275470522.

225074572920 is a `hidden beast` number, since 2 + 2 + 5 + 0 + 74 + 572 + 9 + 2 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6402351 + ... + 6437409.

Almost surely, 2^225074572920 is an apocalyptic number.

225074572920 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 225074572920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387640890000).

225074572920 is an abundant number, since it is smaller than the sum of its proper divisors (550207207080).

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

225074572920 is a wasteful number, since it uses less digits than its factorization.

225074572920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36142 (or 36135 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The spelling of 225074572920 in words is "two hundred twenty-five billion, seventy-four million, five hundred seventy-two thousand, nine hundred twenty".