225759024720 has 320 divisors, whose sum is σ = 795340166400. Its totient is φ = 58838906880.

The previous prime is 225759024713. The next prime is 225759024767. The reversal of 225759024720 is 27420957522.

225759024720 is a `hidden beast` number, since 2 + 2 + 57 + 590 + 2 + 4 + 7 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30791455 + ... + 30798785.

It is an arithmetic number, because the mean of its divisors is an integer number (2485438020).

Almost surely, 2^225759024720 is an apocalyptic number.

225759024720 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 225759024720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397670083200).

225759024720 is an abundant number, since it is smaller than the sum of its proper divisors (569581141680).

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

225759024720 is a wasteful number, since it uses less digits than its factorization.

225759024720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7675 (or 7663 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The spelling of 225759024720 in words is "two hundred twenty-five billion, seven hundred fifty-nine million, twenty-four thousand, seven hundred twenty".