225807197640120 has 768 divisors, whose sum is σ = 785532159360000. Its totient is φ = 56092455936000.

The previous prime is 225807197640097. The next prime is 225807197640169. The reversal of 225807197640120 is 21046791708522.

225807197640120 is a `hidden beast` number, since 2 + 2 + 5 + 80 + 71 + 9 + 76 + 401 + 20 = 666.

It is a super-2 number, since 2×225807197640120² (a number of 30 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 191 ways as a sum of consecutive naturals, for example, 94996716372 + ... + 94996718748.

It is an arithmetic number, because the mean of its divisors is an integer number (1022828332500).

Almost surely, 2^{225807197640120} is an apocalyptic number.

225807197640120 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 225807197640120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392766079680000).

225807197640120 is an abundant number, since it is smaller than the sum of its proper divisors (559724961719880).

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

225807197640120 is a wasteful number, since it uses less digits than its factorization.

225807197640120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3404 (or 3397 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 225807197640120 in words is "two hundred twenty-five trillion, eight hundred seven billion, one hundred ninety-seven million, six hundred forty thousand, one hundred twenty".