21993054967800 has 384 divisors, whose sum is σ = 88589233497600. Its totient is φ = 4910077025280.

The previous prime is 21993054967769. The next prime is 21993054967817. The reversal of 21993054967800 is 876945039912.

21993054967800 is a `hidden beast` number, since 2 + 1 + 9 + 9 + 3 + 0 + 549 + 6 + 7 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 95 ways as a sum of consecutive naturals, for example, 5140029 + ... + 8390828.

It is an arithmetic number, because the mean of its divisors is an integer number (230701128900).

It is a 1-persistent number, because it is pandigital, but 2⋅21993054967800 = 43986109935600 is not.

Almost surely, 2^{21993054967800} is an apocalyptic number.

21993054967800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21993054967800 is an abundant number, since it is smaller than the sum of its proper divisors (66596178529800).

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

21993054967800 is a wasteful number, since it uses less digits than its factorization.

21993054967800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13530932 (or 13530917 counting only the distinct ones).

The product of its (nonzero) digits is 29393280, while the sum is 63.

The spelling of 21993054967800 in words is "twenty-one trillion, nine hundred ninety-three billion, fifty-four million, nine hundred sixty-seven thousand, eight hundred".