22121662560 has 96 divisors (see below), whose sum is σ = 69746987520. Its totient is φ = 5893713408.

The previous prime is 22121662559. The next prime is 22121662603. The reversal of 22121662560 is 6526612122.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 518521 + ... + 559559.

It is an arithmetic number, because the mean of its divisors is an integer number (726531120).

Almost surely, 2^22121662560 is an apocalyptic number.

22121662560 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 22121662560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34873493760).

22121662560 is an abundant number, since it is smaller than the sum of its proper divisors (47625324960).

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

22121662560 is a wasteful number, since it uses less digits than its factorization.

22121662560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42180 (or 42172 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The spelling of 22121662560 in words is "twenty-two billion, one hundred twenty-one million, six hundred sixty-two thousand, five hundred sixty".