20965896000 has 672 divisors, whose sum is σ = 90791580672. Its totient is φ = 4508467200.

The previous prime is 20965895989. The next prime is 20965896013. The reversal of 20965896000 is 69856902.

20965896000 is a `hidden beast` number, since 2 + 0 + 9 + 6 + 589 + 60 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 8566777 + ... + 8569223.

Almost surely, 2^20965896000 is an apocalyptic number.

20965896000 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 20965896000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45395790336).

20965896000 is an abundant number, since it is smaller than the sum of its proper divisors (69825684672).

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

20965896000 is a wasteful number, since it uses less digits than its factorization.

20965896000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2504 (or 2481 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 20965896000 in words is "twenty billion, nine hundred sixty-five million, eight hundred ninety-six thousand".