26206096800 has 288 divisors, whose sum is σ = 92443958208. Its totient is φ = 6409912320.

The previous prime is 26206096789. The next prime is 26206096823. The reversal of 26206096800 is 869060262.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5083024 + ... + 5088176.

It is an arithmetic number, because the mean of its divisors is an integer number (320985966).

Almost surely, 2^26206096800 is an apocalyptic number.

26206096800 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 26206096800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46221979104).

26206096800 is an abundant number, since it is smaller than the sum of its proper divisors (66237861408).

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

26206096800 is a wasteful number, since it uses less digits than its factorization.

26206096800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5352 (or 5339 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The spelling of 26206096800 in words is "twenty-six billion, two hundred six million, ninety-six thousand, eight hundred".