225190883520 has 672 divisors, whose sum is σ = 853738704000. Its totient is φ = 54227238912.

The previous prime is 225190883461. The next prime is 225190883551. The reversal of 225190883520 is 25388091522.

225190883520 is a `hidden beast` number, since 2 + 2 + 519 + 0 + 8 + 83 + 52 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 282547762 + ... + 282548558.

It is an arithmetic number, because the mean of its divisors is an integer number (1270444500).

Almost surely, 2^225190883520 is an apocalyptic number.

225190883520 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 225190883520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426869352000).

225190883520 is an abundant number, since it is smaller than the sum of its proper divisors (628547820480).

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

225190883520 is a wasteful number, since it uses less digits than its factorization.

225190883520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1065 (or 1052 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 225190883520 in words is "two hundred twenty-five billion, one hundred ninety million, eight hundred eighty-three thousand, five hundred twenty".