21680095008 has 384 divisors, whose sum is σ = 72052485120. Its totient is φ = 5608673280.

The previous prime is 21680094979. The next prime is 21680095013. The reversal of 21680095008 is 80059008612.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11214810 + ... + 11216742.

It is an arithmetic number, because the mean of its divisors is an integer number (187636680).

Almost surely, 2^21680095008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21680095008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36026242560).

21680095008 is an abundant number, since it is smaller than the sum of its proper divisors (50372390112).

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

21680095008 is a wasteful number, since it uses less digits than its factorization.

21680095008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2032 (or 2024 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 39.

The spelling of 21680095008 in words is "twenty-one billion, six hundred eighty million, ninety-five thousand, eight".