225672894720 has 2592 divisors, whose sum is σ = 1090078674048. Its totient is φ = 44144787456.

The previous prime is 225672894691. The next prime is 225672894721. The reversal of 225672894720 is 27498276522.

225672894720 is a `hidden beast` number, since 2 + 2 + 567 + 2 + 8 + 9 + 4 + 72 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2592).

It is a super-2 number, since 2×225672894720² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (225672894721) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3368252127 + ... + 3368252193.

It is an arithmetic number, because the mean of its divisors is an integer number (420555044).

Almost surely, 2^225672894720 is an apocalyptic number.

225672894720 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 225672894720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (545039337024).

225672894720 is an abundant number, since it is smaller than the sum of its proper divisors (864405779328).

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

225672894720 is a wasteful number, since it uses less digits than its factorization.

225672894720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 225672894720 in words is "two hundred twenty-five billion, six hundred seventy-two million, eight hundred ninety-four thousand, seven hundred twenty".