22205886072480 has 1152 divisors, whose sum is σ = 89501394528000. Its totient is φ = 4954742784000.

The previous prime is 22205886072401. The next prime is 22205886072509. The reversal of 22205886072480 is 8427068850222.

22205886072480 is a `hidden beast` number, since 2 + 2 + 2 + 0 + 5 + 8 + 8 + 607 + 24 + 8 + 0 = 666.

It is a super-2 number, since 2×22205886072480² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 11681159530 + ... + 11681161430.

It is an arithmetic number, because the mean of its divisors is an integer number (77692182750).

Almost surely, 2^{22205886072480} is an apocalyptic number.

22205886072480 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 22205886072480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44750697264000).

22205886072480 is an abundant number, since it is smaller than the sum of its proper divisors (67295508455520).

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

22205886072480 is a wasteful number, since it uses less digits than its factorization.

22205886072480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3038 (or 3027 counting only the distinct ones).

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

The spelling of 22205886072480 in words is "twenty-two trillion, two hundred five billion, eight hundred eighty-six million, seventy-two thousand, four hundred eighty".