21096797265625 has 27 divisors (see below), whose sum is σ = 26374571945431. Its totient is φ = 16875141250000.

The previous prime is 21096797265601. The next prime is 21096797265679. The reversal of 21096797265625 is 52656279769012.

The square root of 21096797265625 is 4593125.

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

It can be written as a sum of positive squares in 13 ways, for example, as 3373000384329 + 17723796881296 = 1836573^2 + 4209964^2 .

It is not a de Polignac number, because 21096797265625 - 2¹⁹ = 21096796741337 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2870699451 + ... + 2870706799.

Almost surely, 2^{21096797265625} is an apocalyptic number.

21096797265625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

21096797265625 is the 4593125-th square number.

21096797265625 is the 2296563-rd centered octagonal number.

It is an amenable number.

21096797265625 is a deficient number, since it is larger than the sum of its proper divisors (5277774679806).

21096797265625 is an frugal number, since it uses more digits than its factorization.

21096797265625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14738 (or 7354 counting only the distinct ones).

The product of its (nonzero) digits is 171460800, while the sum is 67.

The spelling of 21096797265625 in words is "twenty-one trillion, ninety-six billion, seven hundred ninety-seven million, two hundred sixty-five thousand, six hundred twenty-five".