20804832000 has 864 divisors, whose sum is σ = 80583310080. Its totient is φ = 5143756800.

The previous prime is 20804831981. The next prime is 20804832011. The reversal of 20804832000 is 23840802.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 392543974 + ... + 392544026.

It is an arithmetic number, because the mean of its divisors is an integer number (93267720).

Almost surely, 2^20804832000 is an apocalyptic number.

20804832000 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 20804832000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40291655040).

20804832000 is an abundant number, since it is smaller than the sum of its proper divisors (59778478080).

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

20804832000 is a wasteful number, since it uses less digits than its factorization.

20804832000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The spelling of 20804832000 in words is "twenty billion, eight hundred four million, eight hundred thirty-two thousand".