21963393648000 has 1920 divisors, whose sum is σ = 95894312754240. Its totient is φ = 4897760256000.

The previous prime is 21963393647999. The next prime is 21963393648011. The reversal of 21963393648000 is 84639336912.

21963393648000 is a `hidden beast` number, since 2 + 19 + 63 + 3 + 93 + 6 + 480 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 535692527980 + ... + 535692528020.

Almost surely, 2^{21963393648000} is an apocalyptic number.

21963393648000 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 21963393648000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47947156377120).

21963393648000 is an abundant number, since it is smaller than the sum of its proper divisors (73930919106240).

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

21963393648000 is an frugal number, since it uses more digits than its factorization.

21963393648000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 5038848, while the sum is 54.

The spelling of 21963393648000 in words is "twenty-one trillion, nine hundred sixty-three billion, three hundred ninety-three million, six hundred forty-eight thousand".