1158535237200 has 960 divisors, whose sum is σ = 4533061294080. Its totient is φ = 249274368000.

The previous prime is 1158535237177. The next prime is 1158535237229. The reversal of 1158535237200 is 27325358511.

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 191 ways as a sum of consecutive naturals, for example, 1198071117 + ... + 1198072083.

It is an arithmetic number, because the mean of its divisors is an integer number (4721938848).

Almost surely, 2^{1158535237200} is an apocalyptic number.

1158535237200 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 1158535237200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2266530647040).

1158535237200 is an abundant number, since it is smaller than the sum of its proper divisors (3374526056880).

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

1158535237200 is a wasteful number, since it uses less digits than its factorization.

1158535237200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1316 (or 1305 counting only the distinct ones).

The product of its (nonzero) digits is 252000, while the sum is 42.

The spelling of 1158535237200 in words is "one trillion, one hundred fifty-eight billion, five hundred thirty-five million, two hundred thirty-seven thousand, two hundred".