26315010800 has 240 divisors, whose sum is σ = 69580213248. Its totient is φ = 9505382400.

The previous prime is 26315010793. The next prime is 26315010823. The reversal of 26315010800 is 801051362.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 26315010800.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 68707409 + ... + 68707791.

Almost surely, 2^26315010800 is an apocalyptic number.

26315010800 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 26315010800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34790106624).

26315010800 is an abundant number, since it is smaller than the sum of its proper divisors (43265202448).

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

26315010800 is a wasteful number, since it uses less digits than its factorization.

26315010800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 668 (or 657 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 26.

The spelling of 26315010800 in words is "twenty-six billion, three hundred fifteen million, ten thousand, eight hundred".