11509860960 has 144 divisors (see below), whose sum is σ = 42298807824. Its totient is φ = 2833191936.

The previous prime is 11509860959. The next prime is 11509860979. The reversal of 11509860960 is 6906890511.

11509860960 is a `hidden beast` number, since 1 + 1 + 509 + 86 + 0 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 288702 + ... + 326141.

It is an arithmetic number, because the mean of its divisors is an integer number (293741721).

Almost surely, 2^11509860960 is an apocalyptic number.

11509860960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11509860960 is an abundant number, since it is smaller than the sum of its proper divisors (30788946864).

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

11509860960 is a wasteful number, since it uses less digits than its factorization.

11509860960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 614877 (or 614866 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 45.

The spelling of 11509860960 in words is "eleven billion, five hundred nine million, eight hundred sixty thousand, nine hundred sixty".