20393920800 has 1134 divisors, whose sum is σ = 87159036699. Its totient is φ = 4653158400.

The previous prime is 20393920733. The next prime is 20393920801. The reversal of 20393920800 is 802939302.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 13279335696 + 7114585104 = 115236^2 + 84348^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=100980.

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

It is not an unprimeable number, because it can be changed into a prime (20393920801) by changing a digit.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 1199642392 + ... + 1199642408.

Almost surely, 2^20393920800 is an apocalyptic number.

20393920800 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 20393920800

20393920800 is an abundant number, since it is smaller than the sum of its proper divisors (66765115899).

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

20393920800 is a wasteful number, since it uses less digits than its factorization.

20393920800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

Multiplying 20393920800 by its product of nonzero digits (23328), we get a square (475749384422400 = 21811680²).

20393920800 divided by its product of nonzero digits (23328) gives a square (874225 = 935²).

The spelling of 20393920800 in words is "twenty billion, three hundred ninety-three million, nine hundred twenty thousand, eight hundred".