21159484368 has 320 divisors, whose sum is σ = 65417241600. Its totient is φ = 5821562880.

The previous prime is 21159484237. The next prime is 21159484393. The reversal of 21159484368 is 86348495112.

It is a Cunningham number, because it is equal to 145463²-1.

It is a self number, because there is not a number n which added to its sum of digits gives 21159484368.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 74768355 + ... + 74768637.

It is an arithmetic number, because the mean of its divisors is an integer number (204428880).

Almost surely, 2^21159484368 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 21159484368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32708620800).

21159484368 is an abundant number, since it is smaller than the sum of its proper divisors (44257757232).

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

21159484368 is a wasteful number, since it uses less digits than its factorization.

21159484368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 610 (or 604 counting only the distinct ones).

The product of its digits is 1658880, while the sum is 51.

The spelling of 21159484368 in words is "twenty-one billion, one hundred fifty-nine million, four hundred eighty-four thousand, three hundred sixty-eight".