26386160040 has 48 divisors (see below), whose sum is σ = 85755021300. Its totient is φ = 7036309248.

The previous prime is 26386160011. The next prime is 26386160041. The reversal of 26386160040 is 4006168362.

26386160040 is a `hidden beast` number, since 2 + 6 + 3 + 8 + 6 + 1 + 600 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 22279144644 + 4107015396 = 149262^2 + 64086^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 26386159977 and 26386160004.

It is not an unprimeable number, because it can be changed into a prime (26386160041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36647085 + ... + 36647804.

Almost surely, 2^26386160040 is an apocalyptic number.

26386160040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

26386160040 is an abundant number, since it is smaller than the sum of its proper divisors (59368861260).

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

26386160040 is a wasteful number, since it uses less digits than its factorization.

26386160040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73294906 (or 73294899 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 26386160040 in words is "twenty-six billion, three hundred eighty-six million, one hundred sixty thousand, forty".