20863180800 has 1344 divisors, whose sum is σ = 97511616000. Its totient is φ = 4335206400.

The previous prime is 20863180799. The next prime is 20863180801. The reversal of 20863180800 is 808136802.

It is an interprime number because it is at equal distance from previous prime (20863180799) and next prime (20863180801).

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20863180801) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 1896652795 + ... + 1896652805.

Almost surely, 2^20863180800 is an apocalyptic number.

20863180800 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 20863180800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48755808000).

20863180800 is an abundant number, since it is smaller than the sum of its proper divisors (76648435200).

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

20863180800 is an equidigital number, since it uses as much as digits as its factorization.

20863180800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 20863180800 in words is "twenty billion, eight hundred sixty-three million, one hundred eighty thousand, eight hundred".