11179389312000 has 5280 divisors, whose sum is σ = 55799910182016. Its totient is φ = 2165833728000.

The previous prime is 11179389311999. The next prime is 11179389312023. The reversal of 11179389312000 is 21398397111.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 272668031980 + ... + 272668032020.

Almost surely, 2^{11179389312000} is an apocalyptic number.

11179389312000 is a gapful number since it is divisible by the number (10) 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 11179389312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27899955091008).

11179389312000 is an abundant number, since it is smaller than the sum of its proper divisors (44620520870016).

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

11179389312000 is a wasteful number, since it uses less digits than its factorization.

11179389312000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 88 counting only the distinct ones).

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

The spelling of 11179389312000 in words is "eleven trillion, one hundred seventy-nine billion, three hundred eighty-nine million, three hundred twelve thousand".