22111655040 has 384 divisors, whose sum is σ = 77844049920. Its totient is φ = 5782855680.

The previous prime is 22111655039. The next prime is 22111655053. The reversal of 22111655040 is 4055611122.

22111655040 is a `hidden beast` number, since 2 + 2 + 1 + 1 + 1 + 655 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 22111654995 and 22111655013.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 122163750 + ... + 122163930.

It is an arithmetic number, because the mean of its divisors is an integer number (202718880).

Almost surely, 2^22111655040 is an apocalyptic number.

22111655040 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 22111655040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38922024960).

22111655040 is an abundant number, since it is smaller than the sum of its proper divisors (55732394880).

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

22111655040 is a wasteful number, since it uses less digits than its factorization.

22111655040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 500 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The spelling of 22111655040 in words is "twenty-two billion, one hundred eleven million, six hundred fifty-five thousand, forty".