20012942179872 has 384 divisors, whose sum is σ = 61217869547520. Its totient is φ = 6348646149120.

The previous prime is 20012942179859. The next prime is 20012942179883. The reversal of 20012942179872 is 27897124921002.

20012942179872 is a `hidden beast` number, since 2 + 0 + 0 + 129 + 421 + 7 + 98 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4464182943 + ... + 4464187425.

It is an arithmetic number, because the mean of its divisors is an integer number (159421535280).

Almost surely, 2^{20012942179872} 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 20012942179872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30608934773760).

20012942179872 is an abundant number, since it is smaller than the sum of its proper divisors (41204927367648).

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

20012942179872 is a wasteful number, since it uses less digits than its factorization.

20012942179872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5613 (or 5599 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The spelling of 20012942179872 in words is "twenty trillion, twelve billion, nine hundred forty-two million, one hundred seventy-nine thousand, eight hundred seventy-two".