20830938800 has 480 divisors, whose sum is σ = 62918592000. Its totient is φ = 6604416000.

The previous prime is 20830938749. The next prime is 20830938803. The reversal of 20830938800 is 883903802.

It is a super-2 number, since 2×20830938800² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (20830938803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 159014735 + ... + 159014865.

It is an arithmetic number, because the mean of its divisors is an integer number (131080400).

Almost surely, 2^20830938800 is an apocalyptic number.

20830938800 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 20830938800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31459296000).

20830938800 is an abundant number, since it is smaller than the sum of its proper divisors (42087653200).

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

20830938800 is a wasteful number, since it uses less digits than its factorization.

20830938800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 41.

The spelling of 20830938800 in words is "twenty billion, eight hundred thirty million, nine hundred thirty-eight thousand, eight hundred".