11509464960 has 960 divisors, whose sum is σ = 50145052320. Its totient is φ = 2503581696.

The previous prime is 11509464931. The next prime is 11509464961. The reversal of 11509464960 is 6946490511.

It is a happy number.

11509464960 is a `hidden beast` number, since 1 + 1 + 509 + 46 + 49 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11509464961) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 58423582 + ... + 58423778.

Almost surely, 2^11509464960 is an apocalyptic number.

11509464960 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 11509464960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25072526160).

11509464960 is an abundant number, since it is smaller than the sum of its proper divisors (38635587360).

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

11509464960 is a wasteful number, since it uses less digits than its factorization.

11509464960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 11509464960 in words is "eleven billion, five hundred nine million, four hundred sixty-four thousand, nine hundred sixty".