11758652160 has 144 divisors (see below), whose sum is σ = 38766013440. Its totient is φ = 3034460160.

The previous prime is 11758652117. The next prime is 11758652173. The reversal of 11758652160 is 6125685711.

11758652160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69651 + ... + 168429.

Almost surely, 2^11758652160 is an apocalyptic number.

11758652160 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 11758652160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19383006720).

11758652160 is an abundant number, since it is smaller than the sum of its proper divisors (27007361280).

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

11758652160 is an equidigital number, since it uses as much as digits as its factorization.

11758652160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98834 (or 98820 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 42.

The spelling of 11758652160 in words is "eleven billion, seven hundred fifty-eight million, six hundred fifty-two thousand, one hundred sixty".