26106917760 has 768 divisors, whose sum is σ = 117377683200. Its totient is φ = 5422878720.

The previous prime is 26106917723. The next prime is 26106917831. The reversal of 26106917760 is 6771960162.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9312519 + ... + 9315321.

It is an arithmetic number, because the mean of its divisors is an integer number (152835525).

Almost surely, 2^26106917760 is an apocalyptic number.

26106917760 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 26106917760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58688841600).

26106917760 is an abundant number, since it is smaller than the sum of its proper divisors (91270765440).

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

26106917760 is a wasteful number, since it uses less digits than its factorization.

26106917760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2856 (or 2831 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The spelling of 26106917760 in words is "twenty-six billion, one hundred six million, nine hundred seventeen thousand, seven hundred sixty".