26871190800 has 480 divisors, whose sum is σ = 94970171520. Its totient is φ = 6469632000.

The previous prime is 26871190711. The next prime is 26871190807. The reversal of 26871190800 is 809117862.

It is not an unprimeable number, because it can be changed into a prime (26871190807) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 44710500 + ... + 44711100.

It is an arithmetic number, because the mean of its divisors is an integer number (197854524).

Almost surely, 2^26871190800 is an apocalyptic number.

26871190800 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 26871190800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47485085760).

26871190800 is an abundant number, since it is smaller than the sum of its proper divisors (68098980720).

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

26871190800 is a wasteful number, since it uses less digits than its factorization.

26871190800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 731 (or 720 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 42.

The spelling of 26871190800 in words is "twenty-six billion, eight hundred seventy-one million, one hundred ninety thousand, eight hundred".