11927872275200 has 1296 divisors, whose sum is σ = 38406172472640. Its totient is φ = 3636949155840.

The previous prime is 11927872275181. The next prime is 11927872275203. The reversal of 11927872275200 is 257227872911.

It is not an unprimeable number, because it can be changed into a prime (11927872275203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 10912965854 + ... + 10912966946.

It is an arithmetic number, because the mean of its divisors is an integer number (29634392340).

Almost surely, 2^{11927872275200} is an apocalyptic number.

11927872275200 is a gapful number since it is divisible by the number (10) 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 11927872275200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19203086236320).

11927872275200 is an abundant number, since it is smaller than the sum of its proper divisors (26478300197440).

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

11927872275200 is a wasteful number, since it uses less digits than its factorization.

11927872275200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1262 (or 1236 counting only the distinct ones).

The product of its (nonzero) digits is 1975680, while the sum is 53.

The spelling of 11927872275200 in words is "eleven trillion, nine hundred twenty-seven billion, eight hundred seventy-two million, two hundred seventy-five thousand, two hundred".