22161953825280 has 320 divisors, whose sum is σ = 81435635107200. Its totient is φ = 5706065756160.

The previous prime is 22161953825173. The next prime is 22161953825327. The reversal of 22161953825280 is 8252835916122.

22161953825280 is a `hidden beast` number, since 2 + 2 + 1 + 6 + 1 + 9 + 538 + 25 + 2 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3523626 + ... + 7532585.

It is an arithmetic number, because the mean of its divisors is an integer number (254486359710).

Almost surely, 2^{22161953825280} is an apocalyptic number.

22161953825280 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22161953825280 is an abundant number, since it is smaller than the sum of its proper divisors (59273681281920).

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

22161953825280 is a wasteful number, since it uses less digits than its factorization.

22161953825280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11056272 (or 11056250 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 22161953825280 in words is "twenty-two trillion, one hundred sixty-one billion, nine hundred fifty-three million, eight hundred twenty-five thousand, two hundred eighty".