11501168640 has 384 divisors, whose sum is σ = 40947379200. Its totient is φ = 2736783360.

The previous prime is 11501168633. The next prime is 11501168659. The reversal of 11501168640 is 4686110511.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12379696 + ... + 12380624.

It is an arithmetic number, because the mean of its divisors is an integer number (106633800).

Almost surely, 2^11501168640 is an apocalyptic number.

11501168640 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 11501168640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20473689600).

11501168640 is an abundant number, since it is smaller than the sum of its proper divisors (29446210560).

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

11501168640 is a wasteful number, since it uses less digits than its factorization.

11501168640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1003 (or 983 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 33.

The spelling of 11501168640 in words is "eleven billion, five hundred one million, one hundred sixty-eight thousand, six hundred forty".