225657077760 has 360 divisors, whose sum is σ = 785190640416. Its totient is φ = 59949711360.

The previous prime is 225657077717. The next prime is 225657077783. The reversal of 225657077760 is 67770756522.

It is a happy number.

225657077760 is a `hidden beast` number, since 2 + 2 + 5 + 6 + 570 + 7 + 7 + 7 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×225657077760² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 225657077697 and 225657077706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 310394517 + ... + 310395243.

Almost surely, 2^225657077760 is an apocalyptic number.

225657077760 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 225657077760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392595320208).

225657077760 is an abundant number, since it is smaller than the sum of its proper divisors (559533562656).

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

225657077760 is an equidigital number, since it uses as much as digits as its factorization.

225657077760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1187 (or 1158 counting only the distinct ones).

The product of its (nonzero) digits is 8643600, while the sum is 54.

The spelling of 225657077760 in words is "two hundred twenty-five billion, six hundred fifty-seven million, seventy-seven thousand, seven hundred sixty".