26782313376 has 288 divisors, whose sum is σ = 88572331008. Its totient is φ = 7023421440.

The previous prime is 26782313357. The next prime is 26782313401. The reversal of 26782313376 is 67331328762.

It is a Harshad number since it is a multiple of its sum of digits (48).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11678886 + ... + 11681178.

It is an arithmetic number, because the mean of its divisors is an integer number (307542816).

Almost surely, 2^26782313376 is an apocalyptic number.

26782313376 is a gapful number since it is divisible by the number (26) 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 26782313376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44286165504).

26782313376 is an abundant number, since it is smaller than the sum of its proper divisors (61790017632).

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

26782313376 is a wasteful number, since it uses less digits than its factorization.

26782313376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2524 (or 2509 counting only the distinct ones).

The product of its digits is 1524096, while the sum is 48.

The spelling of 26782313376 in words is "twenty-six billion, seven hundred eighty-two million, three hundred thirteen thousand, three hundred seventy-six".