20079876096 has 288 divisors, whose sum is σ = 69776179200. Its totient is φ = 5434490880.

The previous prime is 20079876071. The next prime is 20079876151. The reversal of 20079876096 is 69067897002.

20079876096 is a `hidden beast` number, since 20 + 0 + 7 + 9 + 8 + 7 + 609 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 2447361 + ... + 2455551.

It is an arithmetic number, because the mean of its divisors is an integer number (242278400).

Almost surely, 2^20079876096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20079876096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34888089600).

20079876096 is an abundant number, since it is smaller than the sum of its proper divisors (49696303104).

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

20079876096 is a wasteful number, since it uses less digits than its factorization.

20079876096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8245 (or 8222 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The spelling of 20079876096 in words is "twenty billion, seventy-nine million, eight hundred seventy-six thousand, ninety-six".