1159182847200 has 864 divisors, whose sum is σ = 4489061181696. Its totient is φ = 258997616640.

The previous prime is 1159182847189. The next prime is 1159182847223. The reversal of 1159182847200 is 27482819511.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 1159182847200.

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 143 ways as a sum of consecutive naturals, for example, 1005361824 + ... + 1005362976.

It is an arithmetic number, because the mean of its divisors is an integer number (5195672664).

Almost surely, 2^{1159182847200} is an apocalyptic number.

1159182847200 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 1159182847200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2244530590848).

1159182847200 is an abundant number, since it is smaller than the sum of its proper divisors (3329878334496).

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

1159182847200 is a wasteful number, since it uses less digits than its factorization.

1159182847200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1376 (or 1356 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 48.

The spelling of 1159182847200 in words is "one trillion, one hundred fifty-nine billion, one hundred eighty-two million, eight hundred forty-seven thousand, two hundred".