11190976368 has 240 divisors, whose sum is σ = 34577786880. Its totient is φ = 3097797120.

The previous prime is 11190976367. The next prime is 11190976387. The reversal of 11190976368 is 86367909111.

11190976368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 11190976368.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11190976367) 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 47 ways as a sum of consecutive naturals, for example, 7776193 + ... + 7777631.

It is an arithmetic number, because the mean of its divisors is an integer number (144074112).

Almost surely, 2^11190976368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11190976368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17288893440).

11190976368 is an abundant number, since it is smaller than the sum of its proper divisors (23386810512).

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

11190976368 is a wasteful number, since it uses less digits than its factorization.

11190976368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1588 (or 1571 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 51.

The spelling of 11190976368 in words is "eleven billion, one hundred ninety million, nine hundred seventy-six thousand, three hundred sixty-eight".