26206442000 has 80 divisors (see below), whose sum is σ = 63640270512. Its totient is φ = 10437401600.

The previous prime is 26206441993. The next prime is 26206442011. The reversal of 26206442000 is 24460262.

It can be written as a sum of positive squares in 8 ways, for example, as 11991126016 + 14215315984 = 109504^2 + 119228^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 437882 + ... + 494118.

Almost surely, 2^26206442000 is an apocalyptic number.

26206442000 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 26206442000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31820135256).

26206442000 is an abundant number, since it is smaller than the sum of its proper divisors (37433828512).

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

26206442000 is a wasteful number, since it uses less digits than its factorization.

26206442000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56493 (or 56477 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

The spelling of 26206442000 in words is "twenty-six billion, two hundred six million, four hundred forty-two thousand".