11155158000 has 560 divisors, whose sum is σ = 46260866496. Its totient is φ = 2547417600.

The previous prime is 11155157977. The next prime is 11155158011. The reversal of 11155158000 is 85155111.

11155158000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (560).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 10205454 + ... + 10206546.

Almost surely, 2^11155158000 is an apocalyptic number.

11155158000 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 11155158000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23130433248).

11155158000 is an abundant number, since it is smaller than the sum of its proper divisors (35105708496).

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

11155158000 is an equidigital number, since it uses as much as digits as its factorization.

11155158000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1141 (or 1110 counting only the distinct ones).

The product of its (nonzero) digits is 1000, while the sum is 27.

The spelling of 11155158000 in words is "eleven billion, one hundred fifty-five million, one hundred fifty-eight thousand".