225513411760 has 160 divisors (see below), whose sum is σ = 648089769600. Its totient is φ = 71064428544.

The previous prime is 225513411743. The next prime is 225513411779. The reversal of 225513411760 is 67114315522.

225513411760 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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, 1629766 + ... + 1762714.

It is an arithmetic number, because the mean of its divisors is an integer number (4050561060).

Almost surely, 2^225513411760 is an apocalyptic number.

225513411760 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 225513411760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324044884800).

225513411760 is an abundant number, since it is smaller than the sum of its proper divisors (422576357840).

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

225513411760 is a wasteful number, since it uses less digits than its factorization.

225513411760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133215 (or 133209 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 37.

The spelling of 225513411760 in words is "two hundred twenty-five billion, five hundred thirteen million, four hundred eleven thousand, seven hundred sixty".