20983286400 has 576 divisors, whose sum is σ = 75352230720. Its totient is φ = 5121966080.

The previous prime is 20983286383. The next prime is 20983286419. The reversal of 20983286400 is 468238902.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 185692744 + ... + 185692856.

It is an arithmetic number, because the mean of its divisors is an integer number (130819845).

Almost surely, 2^20983286400 is an apocalyptic number.

20983286400 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 20983286400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37676115360).

20983286400 is an abundant number, since it is smaller than the sum of its proper divisors (54368944320).

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

20983286400 is a wasteful number, since it uses less digits than its factorization.

20983286400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The spelling of 20983286400 in words is "twenty billion, nine hundred eighty-three million, two hundred eighty-six thousand, four hundred".