20993826902400 has 1152 divisors, whose sum is σ = 84971034720000. Its totient is φ = 4888796774400.

The previous prime is 20993826902393. The next prime is 20993826902423. The reversal of 20993826902400 is 420962839902.

20993826902400 is a `hidden beast` number, since 20 + 99 + 38 + 269 + 0 + 240 + 0 = 666.

20993826902400 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1828247059 + ... + 1828258541.

It is an arithmetic number, because the mean of its divisors is an integer number (73759578750).

Almost surely, 2^{20993826902400} is an apocalyptic number.

20993826902400 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 20993826902400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42485517360000).

20993826902400 is an abundant number, since it is smaller than the sum of its proper divisors (63977207817600).

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

20993826902400 is a wasteful number, since it uses less digits than its factorization.

20993826902400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11752 (or 11732 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 20993826902400 in words is "twenty trillion, nine hundred ninety-three billion, eight hundred twenty-six million, nine hundred two thousand, four hundred".