225037959461280 has 576 divisors, whose sum is σ = 907015018291200. Its totient is φ = 49719973754880.

The previous prime is 225037959461267. The next prime is 225037959461321. The reversal of 225037959461280 is 82164959730522.

225037959461280 is a `hidden beast` number, since 2 + 2 + 5 + 0 + 3 + 7 + 9 + 5 + 9 + 4 + 612 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 268001131 + ... + 268839509.

It is an arithmetic number, because the mean of its divisors is an integer number (1574678851200).

It is a 1-persistent number, because it is pandigital, but 2⋅225037959461280 = 450075918922560 is not.

Almost surely, 2^{225037959461280} is an apocalyptic number.

225037959461280 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 225037959461280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453507509145600).

225037959461280 is an abundant number, since it is smaller than the sum of its proper divisors (681977058829920).

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

225037959461280 is a wasteful number, since it uses less digits than its factorization.

225037959461280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 839297 (or 839286 counting only the distinct ones).

The product of its (nonzero) digits is 65318400, while the sum is 63.

The spelling of 225037959461280 in words is "two hundred twenty-five trillion, thirty-seven billion, nine hundred fifty-nine million, four hundred sixty-one thousand, two hundred eighty".