26640890800 has 120 divisors (see below), whose sum is σ = 68341768704. Its totient is φ = 9955841280.

The previous prime is 26640890789. The next prime is 26640890821. The reversal of 26640890800 is 809804662.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 361929 + ... + 429271.

Almost surely, 2^26640890800 is an apocalyptic number.

26640890800 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 26640890800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34170884352).

26640890800 is an abundant number, since it is smaller than the sum of its proper divisors (41700877904).

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

26640890800 is a wasteful number, since it uses less digits than its factorization.

26640890800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67427 (or 67416 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 43.

The spelling of 26640890800 in words is "twenty-six billion, six hundred forty million, eight hundred ninety thousand, eight hundred".