11056279968 has 288 divisors, whose sum is σ = 34283995200. Its totient is φ = 3368521728.

The previous prime is 11056279961. The next prime is 11056279981. The reversal of 11056279968 is 86997265011.

11056279968 is a `hidden beast` number, since 1 + 1 + 0 + 5 + 627 + 9 + 9 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (11056279961) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19430788 + ... + 19431356.

It is an arithmetic number, because the mean of its divisors is an integer number (119041650).

Almost surely, 2^11056279968 is an apocalyptic number.

11056279968 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 11056279968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17141997600).

11056279968 is an abundant number, since it is smaller than the sum of its proper divisors (23227715232).

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

11056279968 is a wasteful number, since it uses less digits than its factorization.

11056279968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 724 (or 713 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 54.

The spelling of 11056279968 in words is "eleven billion, fifty-six million, two hundred seventy-nine thousand, nine hundred sixty-eight".