11910903768 has 256 divisors, whose sum is σ = 36215424000. Its totient is φ = 3614284800.

The previous prime is 11910903733. The next prime is 11910903773. The reversal of 11910903768 is 86730901911.

11910903768 is a `hidden beast` number, since 1 + 191 + 0 + 90 + 376 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11946246 + ... + 11947242.

It is an arithmetic number, because the mean of its divisors is an integer number (141466500).

Almost surely, 2^11910903768 is an apocalyptic number.

11910903768 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 11910903768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18107712000).

11910903768 is an abundant number, since it is smaller than the sum of its proper divisors (24304520232).

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

11910903768 is a wasteful number, since it uses less digits than its factorization.

11910903768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1143 (or 1133 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 45.

The spelling of 11910903768 in words is "eleven billion, nine hundred ten million, nine hundred three thousand, seven hundred sixty-eight".