21971763968 has 288 divisors, whose sum is σ = 58384488960. Its totient is φ = 7989166080.

The previous prime is 21971763907. The next prime is 21971763997. The reversal of 21971763968 is 86936717912.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57972803 + ... + 57973181.

It is an arithmetic number, because the mean of its divisors is an integer number (202723920).

Almost surely, 2^21971763968 is an apocalyptic number.

21971763968 is a gapful number since it is divisible by the number (28) 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 21971763968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29192244480).

21971763968 is an abundant number, since it is smaller than the sum of its proper divisors (36412724992).

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

21971763968 is a wasteful number, since it uses less digits than its factorization.

21971763968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 603 (or 589 counting only the distinct ones).

The product of its digits is 6858432, while the sum is 59.

The spelling of 21971763968 in words is "twenty-one billion, nine hundred seventy-one million, seven hundred sixty-three thousand, nine hundred sixty-eight".