26929138201 has 45 divisors (see below), whose sum is σ = 33542392349. Its totient is φ = 21614070912.

The previous prime is 26929138163. The next prime is 26929138207. The reversal of 26929138201 is 10283192962.

The square root of 26929138201 is 164101.

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

It can be written as a sum of positive squares in 4 ways, for example, as 17516257801 + 9412880400 = 132349^2 + 97020^2 .

It is not a de Polignac number, because 26929138201 - 2²⁹ = 26392267289 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (26929138207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 136696035 + ... + 136696231.

Almost surely, 2^26929138201 is an apocalyptic number.

26929138201 is the 164101-st square number.

26929138201 is the 82051-st centered octagonal number.

It is an amenable number.

26929138201 is a deficient number, since it is larger than the sum of its proper divisors (6613254148).

26929138201 is an frugal number, since it uses more digits than its factorization.

26929138201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 43.

The spelling of 26929138201 in words is "twenty-six billion, nine hundred twenty-nine million, one hundred thirty-eight thousand, two hundred one".