21868199360 has 224 divisors, whose sum is σ = 61877813760. Its totient is φ = 7202377728.

The previous prime is 21868199347. The next prime is 21868199369. The reversal of 21868199360 is 6399186812.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21868199369) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 14745179 + ... + 14746661.

It is an arithmetic number, because the mean of its divisors is an integer number (276240240).

Almost surely, 2^21868199360 is an apocalyptic number.

21868199360 is a gapful number since it is divisible by the number (20) 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 21868199360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30938906880).

21868199360 is an abundant number, since it is smaller than the sum of its proper divisors (40009614400).

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

21868199360 is a wasteful number, since it uses less digits than its factorization.

21868199360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1763 (or 1753 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 53.

The spelling of 21868199360 in words is "twenty-one billion, eight hundred sixty-eight million, one hundred ninety-nine thousand, three hundred sixty".