1158485328000 has 5120 divisors, whose sum is σ = 6210415411200. Its totient is φ = 206032896000.

The previous prime is 1158485327959. The next prime is 1158485328001. The reversal of 1158485328000 is 8235848511.

1158485328000 is a `hidden beast` number, since 11 + 58 + 485 + 32 + 80 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1158485328001) by changing a digit.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 24648623977 + ... + 24648624023.

It is an arithmetic number, because the mean of its divisors is an integer number (1212971760).

Almost surely, 2^{1158485328000} is an apocalyptic number.

1158485328000 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 1158485328000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3105207705600).

1158485328000 is an abundant number, since it is smaller than the sum of its proper divisors (5051930083200).

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

1158485328000 is a wasteful number, since it uses less digits than its factorization.

1158485328000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 45.

The spelling of 1158485328000 in words is "one trillion, one hundred fifty-eight billion, four hundred eighty-five million, three hundred twenty-eight thousand".