225407788480 has 112 divisors (see below), whose sum is σ = 613971173376. Its totient is φ = 77214643200.

The previous prime is 225407788477. The next prime is 225407788531. The reversal of 225407788480 is 84887704522.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×225407788480² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2534527 + ... + 2621953.

Almost surely, 2^225407788480 is an apocalyptic number.

225407788480 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 225407788480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306985586688).

225407788480 is an abundant number, since it is smaller than the sum of its proper divisors (388563384896).

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

225407788480 is a wasteful number, since it uses less digits than its factorization.

225407788480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88602 (or 88592 counting only the distinct ones).

The product of its (nonzero) digits is 8028160, while the sum is 55.

The spelling of 225407788480 in words is "two hundred twenty-five billion, four hundred seven million, seven hundred eighty-eight thousand, four hundred eighty".