1158817968000 has 1536 divisors, whose sum is σ = 5363540582400. Its totient is φ = 240717312000.

The previous prime is 1158817967987. The next prime is 1158817968037. The reversal of 1158817968000 is 8697188511.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 365902417 + ... + 365905583.

It is an arithmetic number, because the mean of its divisors is an integer number (3491888400).

Almost surely, 2^{1158817968000} is an apocalyptic number.

1158817968000 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 1158817968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2681770291200).

1158817968000 is an abundant number, since it is smaller than the sum of its proper divisors (4204722614400).

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

1158817968000 is a wasteful number, since it uses less digits than its factorization.

1158817968000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3234 (or 3195 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 54.

The spelling of 1158817968000 in words is "one trillion, one hundred fifty-eight billion, eight hundred seventeen million, nine hundred sixty-eight thousand".