225653117760 has 840 divisors, whose sum is σ = 959384676096. Its totient is φ = 49314355200.

The previous prime is 225653117743. The next prime is 225653117771. The reversal of 225653117760 is 67711356522.

It is a happy number.

225653117760 is a `hidden beast` number, since 2 + 2 + 56 + 531 + 1 + 7 + 7 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (840).

It is a super-3 number, since 3×225653117760³ (a number of 35 digits) contains 333 as substring.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 95980585 + ... + 95982935.

Almost surely, 2^225653117760 is an apocalyptic number.

225653117760 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 225653117760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479692338048).

225653117760 is an abundant number, since it is smaller than the sum of its proper divisors (733731558336).

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

225653117760 is a wasteful number, since it uses less digits than its factorization.

225653117760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2433 (or 2391 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 45.

The spelling of 225653117760 in words is "two hundred twenty-five billion, six hundred fifty-three million, one hundred seventeen thousand, seven hundred sixty".