21996076960 has 576 divisors, whose sum is σ = 67044602016. Its totient is φ = 6747586560.

The previous prime is 21996076951. The next prime is 21996076981. The reversal of 21996076960 is 6967069912.

It can be written as a sum of positive squares in 16 ways, for example, as 2773918224 + 19222158736 = 52668^2 + 138644^2 .

It is a Smith number, since the sum of its digits (55) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (55).

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, 226763632 + ... + 226763728.

Almost surely, 2^21996076960 is an apocalyptic number.

21996076960 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 21996076960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33522301008).

21996076960 is an abundant number, since it is smaller than the sum of its proper divisors (45048525056).

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

21996076960 is a wasteful number, since it uses less digits than its factorization.

21996076960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 2204496, while the sum is 55.

The spelling of 21996076960 in words is "twenty-one billion, nine hundred ninety-six million, seventy-six thousand, nine hundred sixty".