225822476880 has 2560 divisors, whose sum is σ = 1151926272000. Its totient is φ = 39086530560.

The previous prime is 225822476809. The next prime is 225822476911. The reversal of 225822476880 is 88674228522.

225822476880 is a `hidden beast` number, since 22 + 58 + 22 + 476 + 8 + 80 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 944863801 + ... + 944864039.

It is an arithmetic number, because the mean of its divisors is an integer number (449971200).

Almost surely, 2^225822476880 is an apocalyptic number.

225822476880 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 225822476880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (575963136000).

225822476880 is an abundant number, since it is smaller than the sum of its proper divisors (926103795120).

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

225822476880 is a wasteful number, since it uses less digits than its factorization.

225822476880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 6881280, while the sum is 54.

The spelling of 225822476880 in words is "two hundred twenty-five billion, eight hundred twenty-two million, four hundred seventy-six thousand, eight hundred eighty".