22105923840 has 1728 divisors, whose sum is σ = 107995410432. Its totient is φ = 4180377600.

The previous prime is 22105923839. The next prime is 22105923857. The reversal of 22105923840 is 4832950122.

It is a happy number.

22105923840 is a `hidden beast` number, since 2 + 21 + 0 + 592 + 3 + 8 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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 = 22105923795 and 22105923804.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 311351005 + ... + 311351075.

It is an arithmetic number, because the mean of its divisors is an integer number (62497344).

Almost surely, 2^22105923840 is an apocalyptic number.

22105923840 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 22105923840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53997705216).

22105923840 is an abundant number, since it is smaller than the sum of its proper divisors (85889486592).

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

22105923840 is a wasteful number, since it uses less digits than its factorization.

22105923840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 22105923840 in words is "twenty-two billion, one hundred five million, nine hundred twenty-three thousand, eight hundred forty".