22091724656640 has 520 divisors, whose sum is σ = 82636583375808. Its totient is φ = 5634980904960.

The previous prime is 22091724656597. The next prime is 22091724656689. The reversal of 22091724656640 is 4665642719022.

22091724656640 is a `hidden beast` number, since 2 + 2 + 0 + 9 + 1 + 72 + 4 + 6 + 566 + 4 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 37864735 + ... + 38443745.

Almost surely, 2^{22091724656640} is an apocalyptic number.

22091724656640 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 22091724656640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41318291687904).

22091724656640 is an abundant number, since it is smaller than the sum of its proper divisors (60544858719168).

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

22091724656640 is an equidigital number, since it uses as much as digits as its factorization.

22091724656640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 579075 (or 579044 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 22091724656640 in words is "twenty-two trillion, ninety-one billion, seven hundred twenty-four million, six hundred fifty-six thousand, six hundred forty".