26838116160 has 112 divisors (see below), whose sum is σ = 85253169600. Its totient is φ = 7153291264.

The previous prime is 26838116143. The next prime is 26838116177. The reversal of 26838116160 is 6161183862.

It is an interprime number because it is at equal distance from previous prime (26838116143) and next prime (26838116177).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2354956 + ... + 2366324.

Almost surely, 2^26838116160 is an apocalyptic number.

26838116160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26838116160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42626584800).

26838116160 is an abundant number, since it is smaller than the sum of its proper divisors (58415053440).

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

26838116160 is a wasteful number, since it uses less digits than its factorization.

26838116160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13848 (or 13838 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The spelling of 26838116160 in words is "twenty-six billion, eight hundred thirty-eight million, one hundred sixteen thousand, one hundred sixty".