21096282838761 has 135 divisors (see below), whose sum is σ = 35105150848383. Its totient is φ = 12619548938880.

The previous prime is 21096282838733. The next prime is 21096282838801. The reversal of 21096282838761 is 16783828269012.

The square root of 21096282838761 is 4593069.

It is a perfect power (a square), and thus also a powerful number.

21096282838761 is a `hidden beast` number, since 210 + 9 + 6 + 2 + 8 + 283 + 87 + 61 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 5944726588761 + 15151556250000 = 2438181^2 + 3892500^2 .

It is not a de Polignac number, because 21096282838761 - 2³¹ = 21094135355113 is a prime.

It is a super-2 number, since 2×21096282838761² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (21096282838721) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 19883395171 + ... + 19883396231.

Almost surely, 2^{21096282838761} is an apocalyptic number.

21096282838761 is the 4593069-th square number.

21096282838761 is the 2296535-th centered octagonal number.

It is an amenable number.

21096282838761 is a deficient number, since it is larger than the sum of its proper divisors (14008868009622).

21096282838761 is an frugal number, since it uses more digits than its factorization.

21096282838761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2234 (or 1114 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 63.

The spelling of 21096282838761 in words is "twenty-one trillion, ninety-six billion, two hundred eighty-two million, eight hundred thirty-eight thousand, seven hundred sixty-one".