1158240283200 has 2268 divisors, whose sum is σ = 5663282468688. Its totient is φ = 221908377600.

The previous prime is 1158240283159. The next prime is 1158240283201. The reversal of 1158240283200 is 23820428511.

It is a happy number.

1158240283200 is a `hidden beast` number, since 1 + 1 + 582 + 40 + 2 + 8 + 32 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1158240283201) by changing a digit.

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 323 ways as a sum of consecutive naturals, for example, 1311709959 + ... + 1311710841.

Almost surely, 2^{1158240283200} is an apocalyptic number.

1158240283200 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 1158240283200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2831641234344).

1158240283200 is an abundant number, since it is smaller than the sum of its proper divisors (4505042185488).

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

1158240283200 is a wasteful number, since it uses less digits than its factorization.

1158240283200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 962 (or 924 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 1158240283200 in words is "one trillion, one hundred fifty-eight billion, two hundred forty million, two hundred eighty-three thousand, two hundred".