225976027182480 has 200 divisors, whose sum is σ = 784857745121472. Its totient is φ = 60259542610176.

The previous prime is 225976027182469. The next prime is 225976027182539. The reversal of 225976027182480 is 84281720679522.

225976027182480 is a `hidden beast` number, since 2 + 2 + 5 + 9 + 7 + 6 + 0 + 2 + 71 + 82 + 480 = 666.

It is a super-2 number, since 2×225976027182480² (a number of 30 digits) contains 22 as substring.

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 39 ways as a sum of consecutive naturals, for example, 726168199 + ... + 726479321.

Almost surely, 2^{225976027182480} is an apocalyptic number.

225976027182480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225976027182480 is an abundant number, since it is smaller than the sum of its proper divisors (558881717938992).

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

225976027182480 is a wasteful number, since it uses less digits than its factorization.

225976027182480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423235 (or 423220 counting only the distinct ones).

The product of its (nonzero) digits is 54190080, while the sum is 63.

The spelling of 225976027182480 in words is "two hundred twenty-five trillion, nine hundred seventy-six billion, twenty-seven million, one hundred eighty-two thousand, four hundred eighty".