26775457760 has 96 divisors (see below), whose sum is σ = 64084698720. Its totient is φ = 10570498048.

The previous prime is 26775457757. The next prime is 26775457781. The reversal of 26775457760 is 6775457762.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 26775457696 and 26775457705.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9724544 + ... + 9727296.

It is an arithmetic number, because the mean of its divisors is an integer number (667548945).

Almost surely, 2^26775457760 is an apocalyptic number.

26775457760 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 26775457760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32042349360).

26775457760 is an abundant number, since it is smaller than the sum of its proper divisors (37309240960).

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

26775457760 is a wasteful number, since it uses less digits than its factorization.

26775457760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3540 (or 3532 counting only the distinct ones).

The product of its (nonzero) digits is 17287200, while the sum is 56.

The spelling of 26775457760 in words is "twenty-six billion, seven hundred seventy-five million, four hundred fifty-seven thousand, seven hundred sixty".