225701998560 has 96 divisors (see below), whose sum is σ = 789957010080. Its totient is φ = 60187198464.

The previous prime is 225701998559. The next prime is 225701998597. The reversal of 225701998560 is 65899107522.

225701998560 is a `hidden beast` number, since 2 + 2 + 5 + 70 + 1 + 9 + 9 + 8 + 560 = 666.

225701998560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

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 = 225701998497 and 225701998506.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26118597 + ... + 26127236.

It is an arithmetic number, because the mean of its divisors is an integer number (8228718855).

Almost surely, 2^225701998560 is an apocalyptic number.

225701998560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225701998560 is an abundant number, since it is smaller than the sum of its proper divisors (564255011520).

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

225701998560 is a wasteful number, since it uses less digits than its factorization.

225701998560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52245857 (or 52245843 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 54.

The spelling of 225701998560 in words is "two hundred twenty-five billion, seven hundred one million, nine hundred ninety-eight thousand, five hundred sixty".