26802374800 has 60 divisors (see below), whose sum is σ = 64500782400. Its totient is φ = 10702956160.

The previous prime is 26802374749. The next prime is 26802374813. The reversal of 26802374800 is 847320862.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 183669 + ... + 295531.

It is an arithmetic number, because the mean of its divisors is an integer number (1075013040).

Almost surely, 2^26802374800 is an apocalyptic number.

26802374800 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 26802374800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32250391200).

26802374800 is an abundant number, since it is smaller than the sum of its proper divisors (37698407600).

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

26802374800 is a wasteful number, since it uses less digits than its factorization.

26802374800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112480 (or 112469 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 40.

The spelling of 26802374800 in words is "twenty-six billion, eight hundred two million, three hundred seventy-four thousand, eight hundred".