1158308540200 has 288 divisors, whose sum is σ = 3244024344600. Its totient is φ = 383056128000.

The previous prime is 1158308540197. The next prime is 1158308540209. The reversal of 1158308540200 is 20458038511.

It can be written as a sum of positive squares in 12 ways, for example, as 1440506116 + 1156868034084 = 37954^2 + 1075578^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1158308540200.

It is not an unprimeable number, because it can be changed into a prime (1158308540209) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 494791030 + ... + 494793370.

Almost surely, 2^{1158308540200} is an apocalyptic number.

1158308540200 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 1158308540200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1622012172300).

1158308540200 is an abundant number, since it is smaller than the sum of its proper divisors (2085715804400).

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

1158308540200 is a wasteful number, since it uses less digits than its factorization.

1158308540200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4141 (or 4125 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 37.

The spelling of 1158308540200 in words is "one trillion, one hundred fifty-eight billion, three hundred eight million, five hundred forty thousand, two hundred".