11460896160 has 144 divisors (see below), whose sum is σ = 41996084256. Its totient is φ = 2619628032.

The previous prime is 11460896149. The next prime is 11460896203. The reversal of 11460896160 is 6169806411.

11460896160 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 (42).

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 23 ways as a sum of consecutive naturals, for example, 220122 + ... + 267161.

It is an arithmetic number, because the mean of its divisors is an integer number (291639474).

Almost surely, 2^11460896160 is an apocalyptic number.

11460896160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11460896160 is an abundant number, since it is smaller than the sum of its proper divisors (30535188096).

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

11460896160 is a wasteful number, since it uses less digits than its factorization.

11460896160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487315 (or 487300 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 42.

The spelling of 11460896160 in words is "eleven billion, four hundred sixty million, eight hundred ninety-six thousand, one hundred sixty".