21109968360 has 256 divisors, whose sum is σ = 76295520000. Its totient is φ = 5160913920.

The previous prime is 21109968359. The next prime is 21109968401. The reversal of 21109968360 is 6386990112.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2086915 + ... + 2097005.

It is an arithmetic number, because the mean of its divisors is an integer number (298029375).

Almost surely, 2^21109968360 is an apocalyptic number.

21109968360 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 21109968360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38147760000).

21109968360 is an abundant number, since it is smaller than the sum of its proper divisors (55185551640).

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

21109968360 is a wasteful number, since it uses less digits than its factorization.

21109968360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10273 (or 10263 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The spelling of 21109968360 in words is "twenty-one billion, one hundred nine million, nine hundred sixty-eight thousand, three hundred sixty".