11276842042752 has 1024 divisors, whose sum is σ = 36781313587200. Its totient is φ = 3015652147200.

The previous prime is 11276842042751. The next prime is 11276842042757. The reversal of 11276842042752 is 25724024867211.

It is a junction number, because it is equal to n+sod(n) for n = 11276842042695 and 11276842042704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11276842042751) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 33462439128 + ... + 33462439464.

It is an arithmetic number, because the mean of its divisors is an integer number (35919251550).

Almost surely, 2^{11276842042752} is an apocalyptic number.

11276842042752 is a gapful number since it is divisible by the number (12) 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 11276842042752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18390656793600).

11276842042752 is an abundant number, since it is smaller than the sum of its proper divisors (25504471544448).

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

11276842042752 is a wasteful number, since it uses less digits than its factorization.

11276842042752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 675 (or 663 counting only the distinct ones).

The product of its (nonzero) digits is 3010560, while the sum is 51.

The spelling of 11276842042752 in words is "eleven trillion, two hundred seventy-six billion, eight hundred forty-two million, forty-two thousand, seven hundred fifty-two".