20832768000 has 832 divisors, whose sum is σ = 84641207040. Its totient is φ = 5013504000.

The previous prime is 20832767993. The next prime is 20832768023. The reversal of 20832768000 is 86723802.

It is a happy number.

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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 152063932 + ... + 152064068.

It is an arithmetic number, because the mean of its divisors is an integer number (101732220).

Almost surely, 2^20832768000 is an apocalyptic number.

20832768000 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 20832768000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42320603520).

20832768000 is an abundant number, since it is smaller than the sum of its proper divisors (63808439040).

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

20832768000 is a wasteful number, since it uses less digits than its factorization.

20832768000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 20832768000 in words is "twenty billion, eight hundred thirty-two million, seven hundred sixty-eight thousand".