1158026323200 has 432 divisors, whose sum is σ = 3908899814400. Its totient is φ = 301824204800.

The previous prime is 1158026323199. The next prime is 1158026323241. The reversal of 1158026323200 is 23236208511.

It is a super-2 number, since 2×1158026323200² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 202768345 + ... + 202774055.

It is an arithmetic number, because the mean of its divisors is an integer number (9048379200).

Almost surely, 2^{1158026323200} is an apocalyptic number.

1158026323200 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 1158026323200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1954449907200).

1158026323200 is an abundant number, since it is smaller than the sum of its proper divisors (2750873491200).

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

1158026323200 is a wasteful number, since it uses less digits than its factorization.

1158026323200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5978 (or 5959 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The spelling of 1158026323200 in words is "one trillion, one hundred fifty-eight billion, twenty-six million, three hundred twenty-three thousand, two hundred".