20879381102832 has 1440 divisors, whose sum is σ = 76029143823360. Its totient is φ = 5422024396800.

The previous prime is 20879381102753. The next prime is 20879381102843. The reversal of 20879381102832 is 23820118397802.

20879381102832 is a `hidden beast` number, since 2 + 0 + 87 + 9 + 381 + 102 + 83 + 2 = 666.

20879381102832 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

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 287 ways as a sum of consecutive naturals, for example, 36694869844 + ... + 36694870412.

It is an arithmetic number, because the mean of its divisors is an integer number (52798016544).

Almost surely, 2^{20879381102832} 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 20879381102832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38014571911680).

20879381102832 is an abundant number, since it is smaller than the sum of its proper divisors (55149762720528).

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

20879381102832 is a wasteful number, since it uses less digits than its factorization.

20879381102832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 745 (or 696 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 20879381102832 in words is "twenty trillion, eight hundred seventy-nine billion, three hundred eighty-one million, one hundred two thousand, eight hundred thirty-two".