21633454080000 has 2880 divisors, whose sum is σ = 96708533613120. Its totient is φ = 4729798656000.

The previous prime is 21633454079999. The next prime is 21633454080083. The reversal of 21633454080000 is 8045433612.

21633454080000 is a `hidden beast` number, since 2 + 1 + 6 + 3 + 34 + 540 + 80 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 940584959989 + ... + 940584960011.

It is an arithmetic number, because the mean of its divisors is an integer number (33579351949).

Almost surely, 2^{21633454080000} is an apocalyptic number.

21633454080000 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 21633454080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48354266806560).

21633454080000 is an abundant number, since it is smaller than the sum of its proper divisors (75075079533120).

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

21633454080000 is an frugal number, since it uses more digits than its factorization.

21633454080000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 21633454080000 in words is "twenty-one trillion, six hundred thirty-three billion, four hundred fifty-four million, eighty thousand".