21233668815360 has 1920 divisors, whose sum is σ = 83609935478784. Its totient is φ = 4954026147840.

The previous prime is 21233668815341. The next prime is 21233668815421. The reversal of 21233668815360 is 6351886633212.

21233668815360 is a `hidden beast` number, since 2 + 1 + 23 + 3 + 6 + 6 + 8 + 81 + 536 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a junction number, because it is equal to n+sod(n) for n = 21233668815297 and 21233668815306.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 34981332177 + ... + 34981332783.

Almost surely, 2^{21233668815360} is an apocalyptic number.

21233668815360 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 21233668815360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41804967739392).

21233668815360 is an abundant number, since it is smaller than the sum of its proper divisors (62376266663424).

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

21233668815360 is a wasteful number, since it uses less digits than its factorization.

21233668815360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 794 (or 775 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 21233668815360 in words is "twenty-one trillion, two hundred thirty-three billion, six hundred sixty-eight million, eight hundred fifteen thousand, three hundred sixty".