22059535680 has 448 divisors, whose sum is σ = 95783278080. Its totient is φ = 4654153728.

The previous prime is 22059535669. The next prime is 22059535709. The reversal of 22059535680 is 8653595022.

22059535680 is a `hidden beast` number, since 2 + 2 + 0 + 59 + 535 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×22059535680² (a number of 21 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 63 ways as a sum of consecutive naturals, for example, 772212 + ... + 800268.

It is an arithmetic number, because the mean of its divisors is an integer number (213801960).

Almost surely, 2^22059535680 is an apocalyptic number.

22059535680 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 22059535680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47891639040).

22059535680 is an abundant number, since it is smaller than the sum of its proper divisors (73723742400).

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

22059535680 is a wasteful number, since it uses less digits than its factorization.

22059535680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28103 (or 28087 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The spelling of 22059535680 in words is "twenty-two billion, fifty-nine million, five hundred thirty-five thousand, six hundred eighty".