26112844800 has 990 divisors, whose sum is σ = 112917035682. Its totient is φ = 5945425920.

The previous prime is 26112844799. The next prime is 26112844829. The reversal of 26112844800 is 844821162.

It can be written as a sum of positive squares in 3 ways, for example, as 7868399616 + 18244445184 = 88704^2 + 135072^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 101606272 + ... + 101606528.

Almost surely, 2^26112844800 is an apocalyptic number.

26112844800 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 26112844800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56458517841).

26112844800 is an abundant number, since it is smaller than the sum of its proper divisors (86804190882).

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

26112844800 is a wasteful number, since it uses less digits than its factorization.

26112844800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The spelling of 26112844800 in words is "twenty-six billion, one hundred twelve million, eight hundred forty-four thousand, eight hundred".