11558788000 has 96 divisors (see below), whose sum is σ = 29634958080. Its totient is φ = 4422457600.

The previous prime is 11558787991. The next prime is 11558788009. The reversal of 11558788000 is 88785511.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11558787991) and next prime (11558788009).

It is not an unprimeable number, because it can be changed into a prime (11558788009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29181 + ... + 154819.

It is an arithmetic number, because the mean of its divisors is an integer number (308697480).

Almost surely, 2^11558788000 is an apocalyptic number.

11558788000 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 11558788000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14817479040).

11558788000 is an abundant number, since it is smaller than the sum of its proper divisors (18076170080).

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

11558788000 is a wasteful number, since it uses less digits than its factorization.

11558788000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125687 (or 125669 counting only the distinct ones).

The product of its (nonzero) digits is 89600, while the sum is 43.

The spelling of 11558788000 in words is "eleven billion, five hundred fifty-eight million, seven hundred eighty-eight thousand".