225978431185760 has 576 divisors, whose sum is σ = 626982378531264. Its totient is φ = 76308037632000.

The previous prime is 225978431185757. The next prime is 225978431185763. The reversal of 225978431185760 is 67581134879522.

It is an interprime number because it is at equal distance from previous prime (225978431185757) and next prime (225978431185763).

It is a super-2 number, since 2×225978431185760² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (68).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225978431185763) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15052176014 + ... + 15052191026.

It is an arithmetic number, because the mean of its divisors is an integer number (1088511073839).

It is a 2-persistent number, because it is pandigital, and so is 2⋅225978431185760 = 451956862371520, but 3⋅225978431185760 = 677935293557280 is not.

Almost surely, 2^{225978431185760} is an apocalyptic number.

225978431185760 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 225978431185760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313491189265632).

225978431185760 is an abundant number, since it is smaller than the sum of its proper divisors (401003947345504).

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

225978431185760 is a wasteful number, since it uses less digits than its factorization.

225978431185760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15467 (or 15442 counting only the distinct ones).

The product of its (nonzero) digits is 203212800, while the sum is 68.

The spelling of 225978431185760 in words is "two hundred twenty-five trillion, nine hundred seventy-eight billion, four hundred thirty-one million, one hundred eighty-five thousand, seven hundred sixty".