21680250130764 has 288 divisors, whose sum is σ = 60355430553600. Its totient is φ = 6536058946560.

The previous prime is 21680250130739. The next prime is 21680250130793. The reversal of 21680250130764 is 46703105208612.

21680250130764 is a `hidden beast` number, since 2 + 1 + 6 + 80 + 2 + 501 + 3 + 0 + 7 + 64 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 835997142 + ... + 836023074.

It is an arithmetic number, because the mean of its divisors is an integer number (209567467200).

Almost surely, 2^{21680250130764} 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 21680250130764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30177715276800).

21680250130764 is an abundant number, since it is smaller than the sum of its proper divisors (38675180422836).

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

21680250130764 is a wasteful number, since it uses less digits than its factorization.

21680250130764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26525 (or 26520 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 21680250130764 in words is "twenty-one trillion, six hundred eighty billion, two hundred fifty million, one hundred thirty thousand, seven hundred sixty-four".