11501170560 has 640 divisors, whose sum is σ = 45533093760. Its totient is φ = 2754570240.

The previous prime is 11501170559. The next prime is 11501170567. The reversal of 11501170560 is 6507110511.

It is a happy number.

11501170560 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 (640).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11501170567) 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 79 ways as a sum of consecutive naturals, for example, 138568279 + ... + 138568361.

It is an arithmetic number, because the mean of its divisors is an integer number (71145459).

Almost surely, 2^11501170560 is an apocalyptic number.

11501170560 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 11501170560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22766546880).

11501170560 is an abundant number, since it is smaller than the sum of its proper divisors (34031923200).

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

11501170560 is an frugal number, since it uses more digits than its factorization.

11501170560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 1050, while the sum is 27.

The spelling of 11501170560 in words is "eleven billion, five hundred one million, one hundred seventy thousand, five hundred sixty".