20979134794800 has 2880 divisors, whose sum is σ = 100387074816000. Its totient is φ = 4046814535680.

The previous prime is 20979134794777. The next prime is 20979134794817. The reversal of 20979134794800 is 849743197902.

20979134794800 is a `hidden beast` number, since 2 + 0 + 9 + 79 + 13 + 4 + 79 + 480 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 10288932181 + ... + 10288934219.

It is an arithmetic number, because the mean of its divisors is an integer number (34856623200).

Almost surely, 2^{20979134794800} is an apocalyptic number.

20979134794800 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 20979134794800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50193537408000).

20979134794800 is an abundant number, since it is smaller than the sum of its proper divisors (79407940021200).

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

20979134794800 is a wasteful number, since it uses less digits than its factorization.

20979134794800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2153 (or 2117 counting only the distinct ones).

The product of its (nonzero) digits is 27433728, while the sum is 63.

The spelling of 20979134794800 in words is "twenty trillion, nine hundred seventy-nine billion, one hundred thirty-four million, seven hundred ninety-four thousand, eight hundred".