22159723085760 has 896 divisors, whose sum is σ = 85910083338240. Its totient is φ = 4783446835200.

The previous prime is 22159723085693. The next prime is 22159723085807. The reversal of 22159723085760 is 6758032795122.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 22159723085760.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 169001025 + ... + 169132095.

It is an arithmetic number, because the mean of its divisors is an integer number (95881789440).

Almost surely, 2^{22159723085760} is an apocalyptic number.

22159723085760 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 22159723085760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42955041669120).

22159723085760 is an abundant number, since it is smaller than the sum of its proper divisors (63750360252480).

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

22159723085760 is a wasteful number, since it uses less digits than its factorization.

22159723085760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131177 (or 131167 counting only the distinct ones).

The product of its (nonzero) digits is 12700800, while the sum is 57.

The spelling of 22159723085760 in words is "twenty-two trillion, one hundred fifty-nine billion, seven hundred twenty-three million, eighty-five thousand, seven hundred sixty".