225785702880 has 384 divisors, whose sum is σ = 805441190400. Its totient is φ = 59056791552.

The previous prime is 225785702869. The next prime is 225785702917. The reversal of 225785702880 is 88207587522.

225785702880 is a `hidden beast` number, since 225 + 78 + 5 + 70 + 288 + 0 = 666.

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

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, 174082392 + ... + 174083688.

It is an arithmetic number, because the mean of its divisors is an integer number (2097503100).

Almost surely, 2^225785702880 is an apocalyptic number.

225785702880 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 225785702880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402720595200).

225785702880 is an abundant number, since it is smaller than the sum of its proper divisors (579655487520).

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

225785702880 is a wasteful number, since it uses less digits than its factorization.

225785702880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2063 (or 2049 counting only the distinct ones).

The product of its (nonzero) digits is 5017600, while the sum is 54.

The spelling of 225785702880 in words is "two hundred twenty-five billion, seven hundred eighty-five million, seven hundred two thousand, eight hundred eighty".