26839782144 has 324 divisors, whose sum is σ = 92936101440. Its totient is φ = 7420170240.

The previous prime is 26839782139. The next prime is 26839782157. The reversal of 26839782144 is 44128793862.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3495942 + ... + 3503610.

Almost surely, 2^26839782144 is an apocalyptic number.

26839782144 is a gapful number since it is divisible by the number (24) 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 26839782144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46468050720).

26839782144 is an abundant number, since it is smaller than the sum of its proper divisors (66096319296).

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

26839782144 is a wasteful number, since it uses less digits than its factorization.

26839782144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7736 (or 7712 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 54.

The spelling of 26839782144 in words is "twenty-six billion, eight hundred thirty-nine million, seven hundred eighty-two thousand, one hundred forty-four".