11375806464 has 288 divisors, whose sum is σ = 37741485600. Its totient is φ = 3264675840.

The previous prime is 11375806459. The next prime is 11375806487. The reversal of 11375806464 is 46460857311.

11375806464 is a `hidden beast` number, since 1 + 1 + 3 + 7 + 580 + 6 + 4 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3850812 + ... + 3853764.

It is an arithmetic number, because the mean of its divisors is an integer number (131046825).

Almost surely, 2^11375806464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11375806464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18870742800).

11375806464 is an abundant number, since it is smaller than the sum of its proper divisors (26365679136).

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

11375806464 is a wasteful number, since it uses less digits than its factorization.

11375806464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3011 (or 2988 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 11375806464 in words is "eleven billion, three hundred seventy-five million, eight hundred six thousand, four hundred sixty-four".