21879334752 has 192 divisors, whose sum is σ = 67489873920. Its totient is φ = 6137049600.

The previous prime is 21879334733. The next prime is 21879334787. The reversal of 21879334752 is 25743397812.

It is a junction number, because it is equal to n+sod(n) for n = 21879334695 and 21879334704.

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 31 ways as a sum of consecutive naturals, for example, 738399 + ... + 767457.

It is an arithmetic number, because the mean of its divisors is an integer number (351509760).

Almost surely, 2^21879334752 is an apocalyptic number.

21879334752 is a gapful number since it is divisible by the number (22) 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 21879334752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33744936960).

21879334752 is an abundant number, since it is smaller than the sum of its proper divisors (45610539168).

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

21879334752 is a wasteful number, since it uses less digits than its factorization.

21879334752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29137 (or 29129 counting only the distinct ones).

The product of its digits is 2540160, while the sum is 51.

The spelling of 21879334752 in words is "twenty-one billion, eight hundred seventy-nine million, three hundred thirty-four thousand, seven hundred fifty-two".