26044085117568 has 128 divisors (see below), whose sum is σ = 79111921115520. Its totient is φ = 7436506484736.

The previous prime is 26044085117437. The next prime is 26044085117599. The reversal of 26044085117568 is 86571158044062.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×26044085117568² (a number of 28 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

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, 1259230 + ... + 7326242.

It is an arithmetic number, because the mean of its divisors is an integer number (618061883715).

Almost surely, 2^{26044085117568} is an apocalyptic number.

26044085117568 is a gapful number since it is divisible by the number (28) 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 26044085117568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39555960557760).

26044085117568 is an abundant number, since it is smaller than the sum of its proper divisors (53067835997952).

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

26044085117568 is a wasteful number, since it uses less digits than its factorization.

26044085117568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6068634 (or 6068622 counting only the distinct ones).

The product of its (nonzero) digits is 12902400, while the sum is 57.

The spelling of 26044085117568 in words is "twenty-six trillion, forty-four billion, eighty-five million, one hundred seventeen thousand, five hundred sixty-eight".