225750947425920 has 4096 divisors, whose sum is σ = 994117681152000. Its totient is φ = 47335065845760.

The previous prime is 225750947425919. The next prime is 225750947426071. The reversal of 225750947425920 is 29524749057522.

It is a happy number.

225750947425920 is a `hidden beast` number, since 2 + 2 + 5 + 7 + 50 + 9 + 474 + 25 + 92 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 511 ways as a sum of consecutive naturals, for example, 1181942133025 + ... + 1181942133215.

It is an arithmetic number, because the mean of its divisors is an integer number (242704512000).

Almost surely, 2^{225750947425920} is an apocalyptic number.

225750947425920 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 225750947425920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (497058840576000).

225750947425920 is an abundant number, since it is smaller than the sum of its proper divisors (768366733726080).

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

225750947425920 is a wasteful number, since it uses less digits than its factorization.

225750947425920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476 (or 458 counting only the distinct ones).

The product of its (nonzero) digits is 127008000, while the sum is 63.

The spelling of 225750947425920 in words is "two hundred twenty-five trillion, seven hundred fifty billion, nine hundred forty-seven million, four hundred twenty-five thousand, nine hundred twenty".