22530187532160 has 3584 divisors, whose sum is σ = 104353464637440. Its totient is φ = 4552431206400.

The previous prime is 22530187532147. The next prime is 22530187532323. The reversal of 22530187532160 is 6123578103522.

22530187532160 is a `hidden beast` number, since 2 + 2 + 5 + 30 + 1 + 87 + 532 + 1 + 6 + 0 = 666.

It is a super-2 number, since 2×22530187532160² (a number of 28 digits) contains 22 as substring.

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 447 ways as a sum of consecutive naturals, for example, 308632705884 + ... + 308632705956.

Almost surely, 2^{22530187532160} is an apocalyptic number.

22530187532160 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 22530187532160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52176732318720).

22530187532160 is an abundant number, since it is smaller than the sum of its proper divisors (81823277105280).

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

22530187532160 is an frugal number, since it uses more digits than its factorization.

22530187532160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 22530187532160 in words is "twenty-two trillion, five hundred thirty billion, one hundred eighty-seven million, five hundred thirty-two thousand, one hundred sixty".