225125289360 has 1260 divisors, whose sum is σ = 903607972308. Its totient is φ = 52081532928.

The previous prime is 225125289359. The next prime is 225125289373. The reversal of 225125289360 is 63982521522.

225125289360 is a `hidden beast` number, since 2 + 2 + 5 + 1 + 2 + 5 + 289 + 360 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 42953391504 + 182171897856 = 207252^2 + 426816^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 251 ways as a sum of consecutive naturals, for example, 6084467262 + ... + 6084467298.

Almost surely, 2^225125289360 is an apocalyptic number.

225125289360 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 225125289360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451803986154).

225125289360 is an abundant number, since it is smaller than the sum of its proper divisors (678482682948).

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

225125289360 is a wasteful number, since it uses less digits than its factorization.

225125289360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 225125289360 in words is "two hundred twenty-five billion, one hundred twenty-five million, two hundred eighty-nine thousand, three hundred sixty".