21611676840960 has 1408 divisors, whose sum is σ = 78583922565120. Its totient is φ = 5041848582144.

The previous prime is 21611676840911. The next prime is 21611676840961. The reversal of 21611676840960 is 6904867611612.

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 21611676840960.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21611676840961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 42965560069 + ... + 42965560571.

Almost surely, 2^{21611676840960} is an apocalyptic number.

21611676840960 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 21611676840960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39291961282560).

21611676840960 is an abundant number, since it is smaller than the sum of its proper divisors (56972245724160).

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

21611676840960 is a wasteful number, since it uses less digits than its factorization.

21611676840960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 783 (or 765 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 57.

The spelling of 21611676840960 in words is "twenty-one trillion, six hundred eleven billion, six hundred seventy-six million, eight hundred forty thousand, nine hundred sixty".