22160355840 has 720 divisors, whose sum is σ = 92711691072. Its totient is φ = 5058256896.

The previous prime is 22160355817. The next prime is 22160355863. The reversal of 22160355840 is 4855306122.

22160355840 is a `hidden beast` number, since 2 + 2 + 1 + 60 + 3 + 558 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (22160355817) and next prime (22160355863).

It is a tau number, because it is divible by the number of its divisors (720).

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 = 22160355795 and 22160355804.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 30481557 + ... + 30482283.

Almost surely, 2^22160355840 is an apocalyptic number.

22160355840 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 22160355840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46355845536).

22160355840 is an abundant number, since it is smaller than the sum of its proper divisors (70551335232).

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

22160355840 is an frugal number, since it uses more digits than its factorization.

22160355840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 779 (or 744 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 22160355840 in words is "twenty-two billion, one hundred sixty million, three hundred fifty-five thousand, eight hundred forty".