26160116221100 has 36 divisors (see below), whose sum is σ = 56773295182800. Its totient is φ = 10462969440960.

The previous prime is 26160116221087. The next prime is 26160116221103. The reversal of 26160116221100 is 112261106162.

It is not an unprimeable number, because it can be changed into a prime (26160116221103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12486335 + ... + 14430134.

It is an arithmetic number, because the mean of its divisors is an integer number (1577035977300).

Almost surely, 2^{26160116221100} is an apocalyptic number.

26160116221100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

26160116221100 is an abundant number, since it is smaller than the sum of its proper divisors (30613178961700).

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

26160116221100 is a wasteful number, since it uses less digits than its factorization.

26160116221100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26926202 (or 26926195 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 29.

Adding to 26160116221100 its reverse (112261106162), we get a palindrome (26272377327262).

The spelling of 26160116221100 in words is "twenty-six trillion, one hundred sixty billion, one hundred sixteen million, two hundred twenty-one thousand, one hundred".