22109552640 has 1020 divisors, whose sum is σ = 97631642196. Its totient is φ = 4756340736.

The previous prime is 22109552627. The next prime is 22109552651. The reversal of 22109552640 is 4625590122.

22109552640 is a `hidden beast` number, since 2 + 2 + 1 + 0 + 9 + 5 + 5 + 2 + 640 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 12745506816 + 9364045824 = 112896^2 + 96768^2 .

It is a tau number, because it is divible by the number of its divisors (1020).

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

It is a junction number, because it is equal to n+sod(n) for n = 22109552595 and 22109552604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1300561912 + ... + 1300561928.

Almost surely, 2^22109552640 is an apocalyptic number.

22109552640 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 22109552640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48815821098).

22109552640 is an abundant number, since it is smaller than the sum of its proper divisors (75522089556).

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

22109552640 is an frugal number, since it uses more digits than its factorization.

22109552640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 22109552640 in words is "twenty-two billion, one hundred nine million, five hundred fifty-two thousand, six hundred forty".