26874986112000 has 3520 divisors, whose sum is σ = 117662770120896. Its totient is φ = 6038854041600.

The previous prime is 26874986111873. The next prime is 26874986112011. The reversal of 26874986112000 is 21168947862.

It is a happy number.

26874986112000 is a `hidden beast` number, since 2 + 6 + 87 + 498 + 61 + 12 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 32 ways, for example, as 26674167407616 + 200818704384 = 5164704^2 + 448128^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

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 319 ways as a sum of consecutive naturals, for example, 84779135842 + ... + 84779136158.

Almost surely, 2^{26874986112000} is an apocalyptic number.

26874986112000 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 26874986112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58831385060448).

26874986112000 is an abundant number, since it is smaller than the sum of its proper divisors (90787784008896).

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

26874986112000 is a wasteful number, since it uses less digits than its factorization.

26874986112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 26874986112000 in words is "twenty-six trillion, eight hundred seventy-four billion, nine hundred eighty-six million, one hundred twelve thousand".