21880892866560 has 1920 divisors, whose sum is σ = 91465516498944. Its totient is φ = 4341859614720.

The previous prime is 21880892866549. The next prime is 21880892866627. The reversal of 21880892866560 is 6566829808812.

It is a tau number, because it is divible by the number of its divisors (1920).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 25651691094 + ... + 25651691946.

Almost surely, 2^{21880892866560} is an apocalyptic number.

21880892866560 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 21880892866560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45732758249472).

21880892866560 is an abundant number, since it is smaller than the sum of its proper divisors (69584623632384).

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

21880892866560 is a wasteful number, since it uses less digits than its factorization.

21880892866560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 977 (or 951 counting only the distinct ones).

The product of its (nonzero) digits is 159252480, while the sum is 69.

The spelling of 21880892866560 in words is "twenty-one trillion, eight hundred eighty billion, eight hundred ninety-two million, eight hundred sixty-six thousand, five hundred sixty".