11893160928 has 192 divisors, whose sum is σ = 34607865600. Its totient is φ = 3546316800.

The previous prime is 11893160893. The next prime is 11893160963. The reversal of 11893160928 is 82906139811.

11893160928 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11893160893) and next prime (11893160963).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 20611776 + ... + 20612352.

It is an arithmetic number, because the mean of its divisors is an integer number (180249300).

Almost surely, 2^11893160928 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 11893160928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17303932800).

11893160928 is an abundant number, since it is smaller than the sum of its proper divisors (22714704672).

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

11893160928 is a wasteful number, since it uses less digits than its factorization.

11893160928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 881 (or 873 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 48.

The spelling of 11893160928 in words is "eleven billion, eight hundred ninety-three million, one hundred sixty thousand, nine hundred twenty-eight".