21165060642336 has 144 divisors (see below), whose sum is σ = 64852333280280. Its totient is φ = 6508876677120.

The previous prime is 21165060642293. The next prime is 21165060642379. The reversal of 21165060642336 is 63324606056112.

21165060642336 is a `hidden beast` number, since 2 + 1 + 1 + 6 + 5 + 0 + 606 + 4 + 2 + 3 + 36 = 666.

It is an interprime number because it is at equal distance from previous prime (21165060642293) and next prime (21165060642379).

It can be written as a sum of positive squares in 4 ways, for example, as 12823245873936 + 8341814768400 = 3580956^2 + 2888220^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 21165060642291 and 21165060642300.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5576106 + ... + 8568726.

Almost surely, 2^{21165060642336} is an apocalyptic number.

21165060642336 is a gapful number since it is divisible by the number (26) 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 21165060642336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32426166640140).

21165060642336 is an abundant number, since it is smaller than the sum of its proper divisors (43687272637944).

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

21165060642336 is a wasteful number, since it uses less digits than its factorization.

21165060642336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2994539 (or 2994528 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

Adding to 21165060642336 its reverse (63324606056112), we get a palindrome (84489666698448).

The spelling of 21165060642336 in words is "twenty-one trillion, one hundred sixty-five billion, sixty million, six hundred forty-two thousand, three hundred thirty-six".