225547881480 has 256 divisors, whose sum is σ = 796697856000. Its totient is φ = 56562130944.

The previous prime is 225547881473. The next prime is 225547881541. The reversal of 225547881480 is 84188745522.

225547881480 is a `hidden beast` number, since 2 + 2 + 5 + 547 + 8 + 8 + 14 + 80 = 666.

It is a super-2 number, since 2×225547881480² (a number of 24 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26415772 + ... + 26424308.

It is an arithmetic number, because the mean of its divisors is an integer number (3112101000).

Almost surely, 2^225547881480 is an apocalyptic number.

225547881480 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 225547881480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398348928000).

225547881480 is an abundant number, since it is smaller than the sum of its proper divisors (571149974520).

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

225547881480 is a wasteful number, since it uses less digits than its factorization.

225547881480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10013 (or 10003 counting only the distinct ones).

The product of its (nonzero) digits is 5734400, while the sum is 54.

The spelling of 225547881480 in words is "two hundred twenty-five billion, five hundred forty-seven million, eight hundred eighty-one thousand, four hundred eighty".