11501650560 has 384 divisors, whose sum is σ = 40298731200. Its totient is φ = 2780495872.

The previous prime is 11501650471. The next prime is 11501650571. The reversal of 11501650560 is 6505610511.

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

It is a Harshad number since it is a multiple of its sum of digits (30).

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 47 ways as a sum of consecutive naturals, for example, 27450031 + ... + 27450449.

Almost surely, 2^11501650560 is an apocalyptic number.

11501650560 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 11501650560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20149365600).

11501650560 is an abundant number, since it is smaller than the sum of its proper divisors (28797080640).

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

11501650560 is a wasteful number, since it uses less digits than its factorization.

11501650560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516 (or 475 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 30.

The spelling of 11501650560 in words is "eleven billion, five hundred one million, six hundred fifty thousand, five hundred sixty".