20403376800 has 288 divisors, whose sum is σ = 68175136512. Its totient is φ = 5297786880.

The previous prime is 20403376789. The next prime is 20403376813. The reversal of 20403376800 is 867330402.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31245274 + ... + 31245926.

It is an arithmetic number, because the mean of its divisors is an integer number (236719224).

Almost surely, 2^20403376800 is an apocalyptic number.

20403376800 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 20403376800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34087568256).

20403376800 is an abundant number, since it is smaller than the sum of its proper divisors (47771759712).

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

20403376800 is a wasteful number, since it uses less digits than its factorization.

20403376800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1000 (or 987 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

The spelling of 20403376800 in words is "twenty billion, four hundred three million, three hundred seventy-six thousand, eight hundred".