11427360768 has 364 divisors, whose sum is σ = 35452941480. Its totient is φ = 3678732288.

The previous prime is 11427360751. The next prime is 11427360799. The reversal of 11427360768 is 86706372411.

11427360768 is a `hidden beast` number, since 1 + 14 + 27 + 3 + 607 + 6 + 8 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 128397268 + ... + 128397356.

Almost surely, 2^11427360768 is an apocalyptic number.

11427360768 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 11427360768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17726470740).

11427360768 is an abundant number, since it is smaller than the sum of its proper divisors (24025580712).

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

11427360768 is an frugal number, since it uses more digits than its factorization.

11427360768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 11427360768 in words is "eleven billion, four hundred twenty-seven million, three hundred sixty thousand, seven hundred sixty-eight".