20303816400 has 1050 divisors, whose sum is σ = 88262843190. Its totient is φ = 4480842240.

The previous prime is 20303816387. The next prime is 20303816437. The reversal of 20303816400 is 461830302.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 1372257936 + 18931558464 = 37044^2 + 137592^2 .

It is a tau number, because it is divible by the number of its divisors (1050).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 209 ways as a sum of consecutive naturals, for example, 700131586 + ... + 700131614.

Almost surely, 2^20303816400 is an apocalyptic number.

20303816400 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 20303816400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44131421595).

20303816400 is an abundant number, since it is smaller than the sum of its proper divisors (67959026790).

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

20303816400 is an frugal number, since it uses more digits than its factorization.

20303816400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 20303816400 in words is "twenty billion, three hundred three million, eight hundred sixteen thousand, four hundred".