11319758208 has 256 divisors, whose sum is σ = 36740563200. Its totient is φ = 3402547200.

The previous prime is 11319758201. The next prime is 11319758249. The reversal of 11319758208 is 80285791311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11319758201) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4978960 + ... + 4981232.

It is an arithmetic number, because the mean of its divisors is an integer number (143517825).

Almost surely, 2^11319758208 is an apocalyptic number.

11319758208 is a gapful number since it is divisible by the number (18) 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 11319758208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18370281600).

11319758208 is an abundant number, since it is smaller than the sum of its proper divisors (25420804992).

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

11319758208 is a wasteful number, since it uses less digits than its factorization.

11319758208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2438 (or 2420 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 45.

It can be divided in two parts, 113197 and 58208, that added together give a triangular number (171405 = T₅₈₅).

The spelling of 11319758208 in words is "eleven billion, three hundred nineteen million, seven hundred fifty-eight thousand, two hundred eight".