21179868960 has 48 divisors (see below), whose sum is σ = 66716588736. Its totient is φ = 5647964928.

The previous prime is 21179868937. The next prime is 21179868989. The reversal of 21179868960 is 6986897112.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 21179868960.

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 7 ways as a sum of consecutive naturals, for example, 22061884 + ... + 22062843.

It is an arithmetic number, because the mean of its divisors is an integer number (1389928932).

Almost surely, 2^21179868960 is an apocalyptic number.

21179868960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21179868960 is an abundant number, since it is smaller than the sum of its proper divisors (45536719776).

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

21179868960 is a wasteful number, since it uses less digits than its factorization.

21179868960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44124745 (or 44124737 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 57.

The spelling of 21179868960 in words is "twenty-one billion, one hundred seventy-nine million, eight hundred sixty-eight thousand, nine hundred sixty".