26315998800 has 720 divisors, whose sum is σ = 106749417600. Its totient is φ = 5492551680.

The previous prime is 26315998783. The next prime is 26315998817. The reversal of 26315998800 is 889951362.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (26315998783) and next prime (26315998817).

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 132241101 + ... + 132241299.

It is an arithmetic number, because the mean of its divisors is an integer number (148263080).

Almost surely, 2^26315998800 is an apocalyptic number.

26315998800 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 26315998800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53374708800).

26315998800 is an abundant number, since it is smaller than the sum of its proper divisors (80433418800).

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

26315998800 is a wasteful number, since it uses less digits than its factorization.

26315998800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 51.

The spelling of 26315998800 in words is "twenty-six billion, three hundred fifteen million, nine hundred ninety-eight thousand, eight hundred".