20803910400 has 1512 divisors, whose sum is σ = 96959592800. Its totient is φ = 4389396480.

The previous prime is 20803910399. The next prime is 20803910417. The reversal of 20803910400 is 401930802.

It is a tau number, because it is divible by the number of its divisors (1512).

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

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 1600300794 + ... + 1600300806.

Almost surely, 2^20803910400 is an apocalyptic number.

20803910400 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 20803910400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48479796400).

20803910400 is an abundant number, since it is smaller than the sum of its proper divisors (76155682400).

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

20803910400 is an frugal number, since it uses more digits than its factorization.

20803910400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 20803910400 in words is "twenty billion, eight hundred three million, nine hundred ten thousand, four hundred".