225788290560 has 960 divisors, whose sum is σ = 975912537600. Its totient is φ = 48874586112.

The previous prime is 225788290537. The next prime is 225788290583. The reversal of 225788290560 is 65092887522.

It is a happy number.

225788290560 is a `hidden beast` number, since 2 + 2 + 5 + 78 + 8 + 2 + 9 + 0 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (225788290537) and next prime (225788290583).

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×225788290560² (a number of 24 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 225788290497 and 225788290506.

It is a congruent number.

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, 82735276 + ... + 82738004.

It is an arithmetic number, because the mean of its divisors is an integer number (1016575560).

Almost surely, 2^225788290560 is an apocalyptic number.

225788290560 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 225788290560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487956268800).

225788290560 is an abundant number, since it is smaller than the sum of its proper divisors (750124247040).

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

225788290560 is an equidigital number, since it uses as much as digits as its factorization.

225788290560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2793 (or 2765 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

It can be divided in two parts, 22578 and 8290560, that added together give a palindrome (8313138).

The spelling of 225788290560 in words is "two hundred twenty-five billion, seven hundred eighty-eight million, two hundred ninety thousand, five hundred sixty".