11084807976 has 256 divisors, whose sum is σ = 33256396800. Its totient is φ = 3040665600.

The previous prime is 11084807971. The next prime is 11084807999. The reversal of 11084807976 is 67970848011.

11084807976 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (11084807971) 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 63 ways as a sum of consecutive naturals, for example, 13701460 + ... + 13702268.

It is an arithmetic number, because the mean of its divisors is an integer number (129907800).

Almost surely, 2^11084807976 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 11084807976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16628198400).

11084807976 is an abundant number, since it is smaller than the sum of its proper divisors (22171588824).

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

11084807976 is a wasteful number, since it uses less digits than its factorization.

11084807976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 960 (or 956 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 51.

It can be divided in two parts, 1108 and 4807976, that added together give a palindrome (4809084).

The spelling of 11084807976 in words is "eleven billion, eighty-four million, eight hundred seven thousand, nine hundred seventy-six".