1158005031820 has 216 divisors, whose sum is σ = 3037102731936. Its totient is φ = 363151466496.

The previous prime is 1158005031817. The next prime is 1158005031829. The reversal of 1158005031820 is 281305008511.

It is not an unprimeable number, because it can be changed into a prime (1158005031829) 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, 302112624 + ... + 302116456.

It is an arithmetic number, because the mean of its divisors is an integer number (14060660796).

Almost surely, 2^{1158005031820} is an apocalyptic number.

1158005031820 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 1158005031820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1518551365968).

1158005031820 is an abundant number, since it is smaller than the sum of its proper divisors (1879097700116).

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

1158005031820 is a wasteful number, since it uses less digits than its factorization.

1158005031820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4101 (or 3973 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 34.

The spelling of 1158005031820 in words is "one trillion, one hundred fifty-eight billion, five million, thirty-one thousand, eight hundred twenty".