21936096000 has 1728 divisors, whose sum is σ = 103995580416. Its totient is φ = 4478976000.

The previous prime is 21936095999. The next prime is 21936096059. The reversal of 21936096000 is 69063912.

21936096000 is a `hidden beast` number, since 2 + 19 + 36 + 0 + 9 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 707615985 + ... + 707616015.

Almost surely, 2^21936096000 is an apocalyptic number.

21936096000 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 21936096000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51997790208).

21936096000 is an abundant number, since it is smaller than the sum of its proper divisors (82059484416).

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

21936096000 is an equidigital number, since it uses as much as digits as its factorization.

21936096000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The spelling of 21936096000 in words is "twenty-one billion, nine hundred thirty-six million, ninety-six thousand".