11159882496 has 324 divisors, whose sum is σ = 38358860904. Its totient is φ = 3109478400.

The previous prime is 11159882483. The next prime is 11159882501. The reversal of 11159882496 is 69428895111.

11159882496 is a `hidden beast` number, since 1 + 1 + 1 + 598 + 8 + 2 + 49 + 6 = 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 35 ways as a sum of consecutive naturals, for example, 4627531 + ... + 4629941.

It is an arithmetic number, because the mean of its divisors is an integer number (118391546).

Almost surely, 2^11159882496 is an apocalyptic number.

11159882496 is a gapful number since it is divisible by the number (16) 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 11159882496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19179430452).

11159882496 is an abundant number, since it is smaller than the sum of its proper divisors (27198978408).

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

11159882496 is a wasteful number, since it uses less digits than its factorization.

11159882496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2488 (or 2464 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 54.

The spelling of 11159882496 in words is "eleven billion, one hundred fifty-nine million, eight hundred eighty-two thousand, four hundred ninety-six".