26874549240000 has 2240 divisors, whose sum is σ = 119126475325440. Its totient is φ = 5176258560000.

The previous prime is 26874549239947. The next prime is 26874549240031. The reversal of 26874549240000 is 4294547862.

It is a tau number, because it is divible by the number of its divisors (2240).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 8251318372 + ... + 8251321628.

Almost surely, 2^{26874549240000} is an apocalyptic number.

26874549240000 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 26874549240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59563237662720).

26874549240000 is an abundant number, since it is smaller than the sum of its proper divisors (92251926085440).

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

26874549240000 is a wasteful number, since it uses less digits than its factorization.

26874549240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3376 (or 3351 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 51.

The spelling of 26874549240000 in words is "twenty-six trillion, eight hundred seventy-four billion, five hundred forty-nine million, two hundred forty thousand".