11503034160 has 80 divisors (see below), whose sum is σ = 37209832704. Its totient is φ = 2934105856.

The previous prime is 11503034149. The next prime is 11503034167. The reversal of 11503034160 is 6143030511.

11503034160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×11503034160³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 11503034160.

It is not an unprimeable number, because it can be changed into a prime (11503034167) 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 15 ways as a sum of consecutive naturals, for example, 1036422 + ... + 1047461.

Almost surely, 2^11503034160 is an apocalyptic number.

11503034160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11503034160 is an abundant number, since it is smaller than the sum of its proper divisors (25706798544).

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

11503034160 is a wasteful number, since it uses less digits than its factorization.

11503034160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2083922 (or 2083916 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

Adding to 11503034160 its reverse (6143030511), we get a palindrome (17646064671).

The spelling of 11503034160 in words is "eleven billion, five hundred three million, thirty-four thousand, one hundred sixty".