225198919680 has 1248 divisors, whose sum is σ = 917937192960. Its totient is φ = 46820229120.

The previous prime is 225198919633. The next prime is 225198919691. The reversal of 225198919680 is 86919891522.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1773219777 + ... + 1773219903.

Almost surely, 2^225198919680 is an apocalyptic number.

225198919680 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 225198919680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458968596480).

225198919680 is an abundant number, since it is smaller than the sum of its proper divisors (692738273280).

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

225198919680 is a wasteful number, since it uses less digits than its factorization.

225198919680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 60.

The spelling of 225198919680 in words is "two hundred twenty-five billion, one hundred ninety-eight million, nine hundred nineteen thousand, six hundred eighty".