20879934000 has 320 divisors, whose sum is σ = 69297171840. Its totient is φ = 5406720000.

The previous prime is 20879933999. The next prime is 20879934011. The reversal of 20879934000 is 43997802.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 32573680 + ... + 32574320.

It is an arithmetic number, because the mean of its divisors is an integer number (216553662).

Almost surely, 2^20879934000 is an apocalyptic number.

20879934000 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 20879934000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34648585920).

20879934000 is an abundant number, since it is smaller than the sum of its proper divisors (48417237840).

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

20879934000 is a wasteful number, since it uses less digits than its factorization.

20879934000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 817 (or 801 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The spelling of 20879934000 in words is "twenty billion, eight hundred seventy-nine million, nine hundred thirty-four thousand".