21967880760 has 384 divisors, whose sum is σ = 87501772800. Its totient is φ = 4665323520.

The previous prime is 21967880747. The next prime is 21967880771. The reversal of 21967880760 is 6708876912.

It is a junction number, because it is equal to n+sod(n) for n = 21967880697 and 21967880706.

It is a congruent number.

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, 3381115 + ... + 3387605.

It is an arithmetic number, because the mean of its divisors is an integer number (227869200).

Almost surely, 2^21967880760 is an apocalyptic number.

21967880760 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 21967880760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43750886400).

21967880760 is an abundant number, since it is smaller than the sum of its proper divisors (65533892040).

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

21967880760 is a wasteful number, since it uses less digits than its factorization.

21967880760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6611 (or 6604 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The spelling of 21967880760 in words is "twenty-one billion, nine hundred sixty-seven million, eight hundred eighty thousand, seven hundred sixty".