22159008898560 has 2560 divisors, whose sum is σ = 91143466444800. Its totient is φ = 5068050923520.

The previous prime is 22159008898501. The next prime is 22159008898573. The reversal of 22159008898560 is 6589880095122.

It is a tau number, because it is divible by the number of its divisors (2560).

It is a super-2 number, since 2×22159008898560² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 72179181927 + ... + 72179182233.

It is an arithmetic number, because the mean of its divisors is an integer number (35602916580).

Almost surely, 2^{22159008898560} is an apocalyptic number.

22159008898560 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 22159008898560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45571733222400).

22159008898560 is an abundant number, since it is smaller than the sum of its proper divisors (68984457546240).

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

22159008898560 is a wasteful number, since it uses less digits than its factorization.

22159008898560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 489 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 24883200, while the sum is 63.

The spelling of 22159008898560 in words is "twenty-two trillion, one hundred fifty-nine billion, eight million, eight hundred ninety-eight thousand, five hundred sixty".