20093023814400 has 648 divisors, whose sum is σ = 75441198676480. Its totient is φ = 5290282782720.

The previous prime is 20093023814341. The next prime is 20093023814429. The reversal of 20093023814400 is 441832039002.

20093023814400 is a `hidden beast` number, since 2 + 0 + 0 + 9 + 3 + 0 + 238 + 14 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (648).

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 (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 122779029 + ... + 122942571.

Almost surely, 2^{20093023814400} is an apocalyptic number.

20093023814400 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 20093023814400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37720599338240).

20093023814400 is an abundant number, since it is smaller than the sum of its proper divisors (55348174862080).

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

20093023814400 is an equidigital number, since it uses as much as digits as its factorization.

20093023814400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163663 (or 163632 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 20093023814400 in words is "twenty trillion, ninety-three billion, twenty-three million, eight hundred fourteen thousand, four hundred".