20964593664000 has 3584 divisors, whose sum is σ = 96545448979200. Its totient is φ = 4433589043200.

The previous prime is 20964593663927. The next prime is 20964593664031. The reversal of 20964593664000 is 46639546902.

20964593664000 is a `hidden beast` number, since 2 + 0 + 9 + 6 + 4 + 593 + 6 + 6 + 40 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3584).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 355332095971 + ... + 355332096029.

Almost surely, 2^{20964593664000} is an apocalyptic number.

20964593664000 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 20964593664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48272724489600).

20964593664000 is an abundant number, since it is smaller than the sum of its proper divisors (75580855315200).

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

20964593664000 is an frugal number, since it uses more digits than its factorization.

20964593664000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 8398080, while the sum is 54.

The spelling of 20964593664000 in words is "twenty trillion, nine hundred sixty-four billion, five hundred ninety-three million, six hundred sixty-four thousand".