22205810540160 has 288 divisors, whose sum is σ = 83031586080300. Its totient is φ = 5466045431808.

The previous prime is 22205810540153. The next prime is 22205810540171. The reversal of 22205810540160 is 6104501850222.

22205810540160 is a `hidden beast` number, since 2 + 2 + 2 + 0 + 58 + 1 + 0 + 540 + 1 + 60 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 634393134144 + 21571417406016 = 796488^2 + 4644504^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10432405 + ... + 12379284.

Almost surely, 2^{22205810540160} is an apocalyptic number.

22205810540160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22205810540160 is an abundant number, since it is smaller than the sum of its proper divisors (60825775540140).

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

22205810540160 is a wasteful number, since it uses less digits than its factorization.

22205810540160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22811740 (or 22811712 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 22205810540160 in words is "twenty-two trillion, two hundred five billion, eight hundred ten million, five hundred forty thousand, one hundred sixty".