225521458560 has 384 divisors, whose sum is σ = 811061372160. Its totient is φ = 57678888960.

The previous prime is 225521458549. The next prime is 225521458579. The reversal of 225521458560 is 65854125522.

225521458560 is a `hidden beast` number, since 2 + 2 + 5 + 5 + 2 + 1 + 4 + 585 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20171692 + ... + 20182868.

It is an arithmetic number, because the mean of its divisors is an integer number (2112138990).

Almost surely, 2^225521458560 is an apocalyptic number.

225521458560 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 225521458560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405530686080).

225521458560 is an abundant number, since it is smaller than the sum of its proper divisors (585539913600).

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

225521458560 is a wasteful number, since it uses less digits than its factorization.

225521458560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11346 (or 11331 counting only the distinct ones).

The product of its (nonzero) digits is 960000, while the sum is 45.

The spelling of 225521458560 in words is "two hundred twenty-five billion, five hundred twenty-one million, four hundred fifty-eight thousand, five hundred sixty".