20079936000 has 480 divisors, whose sum is σ = 73492189056. Its totient is φ = 5268480000.

The previous prime is 20079935987. The next prime is 20079936011. The reversal of 20079936000 is 63997002.

20079936000 is a `hidden beast` number, since 200 + 7 + 99 + 360 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-3 number, since 3×20079936000³ (a number of 32 digits) contains 333 as substring.

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

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 47 ways as a sum of consecutive naturals, for example, 40895755 + ... + 40896245.

Almost surely, 2^20079936000 is an apocalyptic number.

20079936000 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 20079936000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36746094528).

20079936000 is an abundant number, since it is smaller than the sum of its proper divisors (53412253056).

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

20079936000 is an equidigital number, since it uses as much as digits as its factorization.

20079936000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 601 (or 572 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The spelling of 20079936000 in words is "twenty billion, seventy-nine million, nine hundred thirty-six thousand".