21868877184 has 768 divisors, whose sum is σ = 79702963200. Its totient is φ = 5237084160.

The previous prime is 21868877171. The next prime is 21868877221. The reversal of 21868877184 is 48177886812.

It is a nude number because it is divisible by every one of its digits.

Its product of digits (9633792) is a multiple of the sum of its prime divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 263480407 + ... + 263480489.

It is an arithmetic number, because the mean of its divisors is an integer number (103779900).

Almost surely, 2^21868877184 is an apocalyptic number.

21868877184 is a gapful number since it is divisible by the number (24) 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 21868877184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39851481600).

21868877184 is an abundant number, since it is smaller than the sum of its proper divisors (57834086016).

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

21868877184 is a wasteful number, since it uses less digits than its factorization.

21868877184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 192 counting only the distinct ones).

The product of its digits is 9633792, while the sum is 60.

The spelling of 21868877184 in words is "twenty-one billion, eight hundred sixty-eight million, eight hundred seventy-seven thousand, one hundred eighty-four".