225480511326720 has 320 divisors, whose sum is σ = 786108080862720. Its totient is φ = 54800324886528.

The previous prime is 225480511326713. The next prime is 225480511326727. The reversal of 225480511326720 is 27623115084522.

It is an interprime number because it is at equal distance from previous prime (225480511326713) and next prime (225480511326727).

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 225480511326720.

It is not an unprimeable number, because it can be changed into a prime (225480511326727) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6406429 + ... + 22181148.

It is an arithmetic number, because the mean of its divisors is an integer number (2456587752696).

Almost surely, 2^{225480511326720} is an apocalyptic number.

225480511326720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225480511326720 is an abundant number, since it is smaller than the sum of its proper divisors (560627569536000).

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

225480511326720 is a wasteful number, since it uses less digits than its factorization.

225480511326720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28587695 (or 28587679 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 48.

The spelling of 225480511326720 in words is "two hundred twenty-five trillion, four hundred eighty billion, five hundred eleven million, three hundred twenty-six thousand, seven hundred twenty".