11276341493760 has 2160 divisors, whose sum is σ = 48753382833792. Its totient is φ = 2397988454400.

The previous prime is 11276341493743. The next prime is 11276341493761. The reversal of 11276341493760 is 6739414367211.

11276341493760 is a `hidden beast` number, since 1 + 1 + 2 + 76 + 3 + 414 + 93 + 76 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 11276341493697 and 11276341493706.

It is not an unprimeable number, because it can be changed into a prime (11276341493761) 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 143 ways as a sum of consecutive naturals, for example, 34067496795 + ... + 34067497125.

Almost surely, 2^{11276341493760} is an apocalyptic number.

11276341493760 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 11276341493760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24376691416896).

11276341493760 is an abundant number, since it is smaller than the sum of its proper divisors (37477041340032).

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

11276341493760 is a wasteful number, since it uses less digits than its factorization.

11276341493760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 11276341493760 in words is "eleven trillion, two hundred seventy-six billion, three hundred forty-one million, four hundred ninety-three thousand, seven hundred sixty".