21246916896000 has 1728 divisors, whose sum is σ = 86167766630400. Its totient is φ = 5193372672000.

The previous prime is 21246916895977. The next prime is 21246916896001. The reversal of 21246916896000 is 69861964212.

21246916896000 is a `hidden beast` number, since 2 + 1 + 24 + 6 + 9 + 1 + 6 + 8 + 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 (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21246916896001) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4580061681 + ... + 4580066319.

Almost surely, 2^{21246916896000} is an apocalyptic number.

21246916896000 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 21246916896000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43083883315200).

21246916896000 is an abundant number, since it is smaller than the sum of its proper divisors (64920849734400).

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

21246916896000 is an equidigital number, since it uses as much as digits as its factorization.

21246916896000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4735 (or 4699 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 21246916896000 in words is "twenty-one trillion, two hundred forty-six billion, nine hundred sixteen million, eight hundred ninety-six thousand".