26116230100 has 72 divisors (see below), whose sum is σ = 57045958200. Its totient is φ = 10377830400.

The previous prime is 26116230097. The next prime is 26116230149. The reversal of 26116230100 is 103261162.

It can be written as a sum of positive squares in 12 ways, for example, as 3282602436 + 22833627664 = 57294^2 + 151108^2 .

It is a super-2 number, since 2×26116230100² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

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, 12265836 + ... + 12267964.

It is an arithmetic number, because the mean of its divisors is an integer number (792304975).

Almost surely, 2^26116230100 is an apocalyptic number.

26116230100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

26116230100 is an abundant number, since it is smaller than the sum of its proper divisors (30929728100).

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

26116230100 is a wasteful number, since it uses less digits than its factorization.

26116230100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2893 (or 2886 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 26116230100 its reverse (103261162), we get a palindrome (26219491262).

The spelling of 26116230100 in words is "twenty-six billion, one hundred sixteen million, two hundred thirty thousand, one hundred".