21680030592 has 256 divisors, whose sum is σ = 70032384000. Its totient is φ = 6548152320.

The previous prime is 21680030591. The next prime is 21680030597. The reversal of 21680030592 is 29503008612.

21680030592 is a `hidden beast` number, since 2 + 1 + 68 + 0 + 0 + 3 + 0 + 592 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21680030591) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14559384 + ... + 14560872.

It is an arithmetic number, because the mean of its divisors is an integer number (273564000).

Almost surely, 2^21680030592 is an apocalyptic number.

21680030592 is a gapful number since it is divisible by the number (22) 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 21680030592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35016192000).

21680030592 is an abundant number, since it is smaller than the sum of its proper divisors (48352353408).

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

21680030592 is a wasteful number, since it uses less digits than its factorization.

21680030592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1906 (or 1888 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 21680030592 in words is "twenty-one billion, six hundred eighty million, thirty thousand, five hundred ninety-two".