11541508160 has 448 divisors, whose sum is σ = 35639654400. Its totient is φ = 3461971968.

The previous prime is 11541508157. The next prime is 11541508177. The reversal of 11541508160 is 6180514511.

11541508160 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 (448).

It is a Harshad number since it is a multiple of its sum of digits (32).

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, 66713834 + ... + 66714006.

It is an arithmetic number, because the mean of its divisors is an integer number (79552800).

Almost surely, 2^11541508160 is an apocalyptic number.

11541508160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11541508160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17819827200).

11541508160 is an abundant number, since it is smaller than the sum of its proper divisors (24098146240).

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

11541508160 is a wasteful number, since it uses less digits than its factorization.

11541508160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 32.

The spelling of 11541508160 in words is "eleven billion, five hundred forty-one million, five hundred eight thousand, one hundred sixty".