225427736880 has 640 divisors, whose sum is σ = 822290227200. Its totient is φ = 57398077440.

The previous prime is 225427736867. The next prime is 225427736881. The reversal of 225427736880 is 88637724522.

225427736880 is a `hidden beast` number, since 2 + 2 + 5 + 4 + 277 + 368 + 8 + 0 = 666.

It is a super-3 number, since 3×225427736880³ (a number of 35 digits) contains 333 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 (225427736881) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 482714407 + ... + 482714873.

It is an arithmetic number, because the mean of its divisors is an integer number (1284828480).

Almost surely, 2^225427736880 is an apocalyptic number.

225427736880 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 225427736880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411145113600).

225427736880 is an abundant number, since it is smaller than the sum of its proper divisors (596862490320).

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

225427736880 is an equidigital number, since it uses as much as digits as its factorization.

225427736880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 621 (or 597 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 54.

The spelling of 225427736880 in words is "two hundred twenty-five billion, four hundred twenty-seven million, seven hundred thirty-six thousand, eight hundred eighty".