20832940800 has 540 divisors, whose sum is σ = 88048333296. Its totient is φ = 4760985600.

The previous prime is 20832940763. The next prime is 20832940831. The reversal of 20832940800 is 804923802.

It is a tau number, because it is divible by the number of its divisors (540).

It is a super-2 number, since 2×20832940800² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 59 ways as a sum of consecutive naturals, for example, 3625930 + ... + 3631670.

Almost surely, 2^20832940800 is an apocalyptic number.

20832940800 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 20832940800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44024166648).

20832940800 is an abundant number, since it is smaller than the sum of its proper divisors (67215392496).

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

20832940800 is an equidigital number, since it uses as much as digits as its factorization.

20832940800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5786 (or 5758 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 20832940800 in words is "twenty billion, eight hundred thirty-two million, nine hundred forty thousand, eight hundred".