225534204829800 has 384 divisors, whose sum is σ = 810660980448000. Its totient is φ = 57524351385600.

The previous prime is 225534204829757. The next prime is 225534204829859. The reversal of 225534204829800 is 8928402435522.

225534204829800 is a `hidden beast` number, since 2 + 2 + 5 + 5 + 342 + 0 + 4 + 8 + 298 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 2882518680 + ... + 2882596920.

It is an arithmetic number, because the mean of its divisors is an integer number (2111096303250).

Almost surely, 2^{225534204829800} is an apocalyptic number.

225534204829800 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 225534204829800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405330490224000).

225534204829800 is an abundant number, since it is smaller than the sum of its proper divisors (585126775618200).

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

225534204829800 is a wasteful number, since it uses less digits than its factorization.

225534204829800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101498 (or 101483 counting only the distinct ones).

The product of its (nonzero) digits is 11059200, while the sum is 54.

The spelling of 225534204829800 in words is "two hundred twenty-five trillion, five hundred thirty-four billion, two hundred four million, eight hundred twenty-nine thousand, eight hundred".