21633286855768 has 128 divisors (see below), whose sum is σ = 47485440737280. Its totient is φ = 9049276454400.

The previous prime is 21633286855753. The next prime is 21633286855769. The reversal of 21633286855768 is 86755868233612.

It is a junction number, because it is equal to n+sod(n) for n = 21633286855697 and 21633286855706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21633286855769) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 112679071 + ... + 112870897.

It is an arithmetic number, because the mean of its divisors is an integer number (370980005760).

Almost surely, 2^{21633286855768} is an apocalyptic number.

21633286855768 is a gapful number since it is divisible by the number (28) 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 21633286855768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23742720368640).

21633286855768 is an abundant number, since it is smaller than the sum of its proper divisors (25852153881512).

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

21633286855768 is a wasteful number, since it uses less digits than its factorization.

21633286855768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192225 (or 192221 counting only the distinct ones).

The product of its digits is 696729600, while the sum is 70.

The spelling of 21633286855768 in words is "twenty-one trillion, six hundred thirty-three billion, two hundred eighty-six million, eight hundred fifty-five thousand, seven hundred sixty-eight".