21104773948800 has 1056 divisors, whose sum is σ = 79528059870960. Its totient is φ = 5532655104000.

The previous prime is 21104773948799. The next prime is 21104773948837. The reversal of 21104773948800 is 884937740112.

21104773948800 is a `hidden beast` number, since 2 + 1 + 1 + 0 + 477 + 3 + 94 + 8 + 80 + 0 = 666.

It is a super-5 number, since 5×21104773948800⁵ (a number of 68 digits) contains 55555 as substring. Note that it is a super-d number also for d = 2.

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 polite number, since it can be written in 131 ways as a sum of consecutive naturals, for example, 11526363885 + ... + 11526365715.

Almost surely, 2^{21104773948800} is an apocalyptic number.

21104773948800 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 21104773948800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39764029935480).

21104773948800 is an abundant number, since it is smaller than the sum of its proper divisors (58423285922160).

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

21104773948800 is an frugal number, since it uses more digits than its factorization.

21104773948800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1946 (or 1902 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 21104773948800 in words is "twenty-one trillion, one hundred four billion, seven hundred seventy-three million, nine hundred forty-eight thousand, eight hundred".