225953192760 has 128 divisors (see below), whose sum is σ = 722487859200. Its totient is φ = 56334182400.

The previous prime is 225953192747. The next prime is 225953192789. The reversal of 225953192760 is 67291359522.

It is a happy number.

225953192760 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58720 + ... + 674799.

It is an arithmetic number, because the mean of its divisors is an integer number (5644436400).

Almost surely, 2^225953192760 is an apocalyptic number.

225953192760 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 225953192760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361243929600).

225953192760 is an abundant number, since it is smaller than the sum of its proper divisors (496534666440).

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

225953192760 is a wasteful number, since it uses less digits than its factorization.

225953192760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 733701 (or 733697 counting only the distinct ones).

The product of its (nonzero) digits is 2041200, while the sum is 51.

The spelling of 225953192760 in words is "two hundred twenty-five billion, nine hundred fifty-three million, one hundred ninety-two thousand, seven hundred sixty".