11785191168 has 144 divisors (see below), whose sum is σ = 33194036736. Its totient is φ = 3704279040.

The previous prime is 11785191149. The next prime is 11785191181. The reversal of 11785191168 is 86119158711.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1249446 + ... + 1258842.

It is an arithmetic number, because the mean of its divisors is an integer number (230514144).

Almost surely, 2^11785191168 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 11785191168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16597018368).

11785191168 is an abundant number, since it is smaller than the sum of its proper divisors (21408845568).

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

11785191168 is an equidigital number, since it uses as much as digits as its factorization.

11785191168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9510 (or 9496 counting only the distinct ones).

The product of its digits is 120960, while the sum is 48.

The spelling of 11785191168 in words is "eleven billion, seven hundred eighty-five million, one hundred ninety-one thousand, one hundred sixty-eight".