26078105000 has 80 divisors (see below), whose sum is σ = 63208282500. Its totient is φ = 10071488000.

The previous prime is 26078104993. The next prime is 26078105021. The reversal of 26078105000 is 50187062.

It can be written as a sum of positive squares in 10 ways, for example, as 5093105956 + 20984999044 = 71366^2 + 144862^2 .

It is a Harshad number since it is a multiple of its sum of digits (29).

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 19 ways as a sum of consecutive naturals, for example, 55076 + ... + 234924.

Almost surely, 2^26078105000 is an apocalyptic number.

26078105000 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 26078105000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31604141250).

26078105000 is an abundant number, since it is smaller than the sum of its proper divisors (37130177500).

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

26078105000 is a wasteful number, since it uses less digits than its factorization.

26078105000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179904 (or 179885 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 29.

The spelling of 26078105000 in words is "twenty-six billion, seventy-eight million, one hundred five thousand".