225292010400 has 864 divisors, whose sum is σ = 889728053760. Its totient is φ = 53348106240.

The previous prime is 225292010381. The next prime is 225292010429. The reversal of 225292010400 is 4010292522.

It is a happy number.

225292010400 is a `hidden beast` number, since 2 + 2 + 52 + 9 + 201 + 0 + 400 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 222400294 + ... + 222401306.

It is an arithmetic number, because the mean of its divisors is an integer number (1029777840).

Almost surely, 2^225292010400 is an apocalyptic number.

225292010400 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 225292010400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444864026880).

225292010400 is an abundant number, since it is smaller than the sum of its proper divisors (664436043360).

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

225292010400 is a wasteful number, since it uses less digits than its factorization.

225292010400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1158 (or 1142 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 225292010400 in words is "two hundred twenty-five billion, two hundred ninety-two million, ten thousand, four hundred".