26080791264 has 384 divisors, whose sum is σ = 88310476800. Its totient is φ = 7400816640.

The previous prime is 26080791251. The next prime is 26080791271. The reversal of 26080791264 is 46219708062.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 54448177 + ... + 54448655.

It is an arithmetic number, because the mean of its divisors is an integer number (229975200).

Almost surely, 2^26080791264 is an apocalyptic number.

26080791264 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 26080791264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44155238400).

26080791264 is an abundant number, since it is smaller than the sum of its proper divisors (62229685536).

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

26080791264 is a wasteful number, since it uses less digits than its factorization.

26080791264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 863 (or 849 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 26080791264 in words is "twenty-six billion, eighty million, seven hundred ninety-one thousand, two hundred sixty-four".