225090638023680 has 528 divisors, whose sum is σ = 916285183710624. Its totient is φ = 50369931509760.

The previous prime is 225090638023679. The next prime is 225090638023687. The reversal of 225090638023680 is 86320836090522.

225090638023680 is a `hidden beast` number, since 2 + 2 + 509 + 0 + 6 + 38 + 0 + 23 + 6 + 80 = 666.

225090638023680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (528).

It is not an unprimeable number, because it can be changed into a prime (225090638023687) 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, 10490209 + ... + 23669088.

Almost surely, 2^{225090638023680} is an apocalyptic number.

225090638023680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225090638023680 is an abundant number, since it is smaller than the sum of its proper divisors (691194545686944).

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

225090638023680 is a wasteful number, since it uses less digits than its factorization.

225090638023680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34159352 (or 34159331 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 225090638023680 in words is "two hundred twenty-five trillion, ninety billion, six hundred thirty-eight million, twenty-three thousand, six hundred eighty".