11318832000 has 1024 divisors, whose sum is σ = 50409216000. Its totient is φ = 2438553600.

The previous prime is 11318831987. The next prime is 11318832017. The reversal of 11318832000 is 23881311.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 57455902 + ... + 57456098.

It is an arithmetic number, because the mean of its divisors is an integer number (49227750).

Almost surely, 2^11318832000 is an apocalyptic number.

11318832000 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 11318832000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25204608000).

11318832000 is an abundant number, since it is smaller than the sum of its proper divisors (39090384000).

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

11318832000 is a wasteful number, since it uses less digits than its factorization.

11318832000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The spelling of 11318832000 in words is "eleven billion, three hundred eighteen million, eight hundred thirty-two thousand".