26760129792 has 144 divisors (see below), whose sum is σ = 81074262528. Its totient is φ = 7756503040.

The previous prime is 26760129733. The next prime is 26760129817. The reversal of 26760129792 is 29792106762.

It is a super-2 number, since 2×26760129792² (a number of 22 digits) contains 22 as substring.

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, 125443 + ... + 263165.

It is an arithmetic number, because the mean of its divisors is an integer number (563015712).

Almost surely, 2^26760129792 is an apocalyptic number.

26760129792 is a gapful number since it is divisible by the number (22) 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 26760129792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40537131264).

26760129792 is an abundant number, since it is smaller than the sum of its proper divisors (54314132736).

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

26760129792 is a wasteful number, since it uses less digits than its factorization.

26760129792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137776 (or 137762 counting only the distinct ones).

The product of its (nonzero) digits is 1143072, while the sum is 51.

The spelling of 26760129792 in words is "twenty-six billion, seven hundred sixty million, one hundred twenty-nine thousand, seven hundred ninety-two".