11158000128 has 480 divisors, whose sum is σ = 37749583872. Its totient is φ = 3259699200.

The previous prime is 11158000121. The next prime is 11158000157. The reversal of 11158000128 is 82100085111.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11158000121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42425725 + ... + 42425987.

Almost surely, 2^11158000128 is an apocalyptic number.

11158000128 is a gapful number since it is divisible by the number (18) 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 11158000128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18874791936).

11158000128 is an abundant number, since it is smaller than the sum of its proper divisors (26591583744).

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

11158000128 is an equidigital number, since it uses as much as digits as its factorization.

11158000128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 27.

Adding to 11158000128 its reverse (82100085111), we get a palindrome (93258085239).

The spelling of 11158000128 in words is "eleven billion, one hundred fifty-eight million, one hundred twenty-eight", and thus it is an aban number.