225500687569800 has 576 divisors, whose sum is σ = 792963547084800. Its totient is φ = 59551314566400.

The previous prime is 225500687569793. The next prime is 225500687569879. The reversal of 225500687569800 is 8965786005522.

225500687569800 is a `hidden beast` number, since 2 + 2 + 5 + 5 + 0 + 0 + 68 + 7 + 569 + 8 + 0 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 21211610485 + ... + 21211621115.

It is an arithmetic number, because the mean of its divisors is an integer number (1376672824800).

Almost surely, 2^{225500687569800} is an apocalyptic number.

225500687569800 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 225500687569800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396481773542400).

225500687569800 is an abundant number, since it is smaller than the sum of its proper divisors (567462859515000).

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

225500687569800 is a wasteful number, since it uses less digits than its factorization.

225500687569800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14848 (or 14827 counting only the distinct ones).

The product of its (nonzero) digits is 72576000, while the sum is 63.

The spelling of 225500687569800 in words is "two hundred twenty-five trillion, five hundred billion, six hundred eighty-seven million, five hundred sixty-nine thousand, eight hundred".