11508289968 has 320 divisors, whose sum is σ = 37237616640. Its totient is φ = 2989218816.

The previous prime is 11508289939. The next prime is 11508289973. The reversal of 11508289968 is 86998280511.

11508289968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

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, 19604971 + ... + 19605557.

It is an arithmetic number, because the mean of its divisors is an integer number (116367552).

Almost surely, 2^11508289968 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 11508289968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18618808320).

11508289968 is an abundant number, since it is smaller than the sum of its proper divisors (25729326672).

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

11508289968 is a wasteful number, since it uses less digits than its factorization.

11508289968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 744 (or 738 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 57.

It can be divided in two parts, 11508 and 289968, that added together give a triangular number (301476 = T₇₇₆).

The spelling of 11508289968 in words is "eleven billion, five hundred eight million, two hundred eighty-nine thousand, nine hundred sixty-eight".