11147058000 has 800 divisors, whose sum is σ = 44565480960. Its totient is φ = 2668723200.

The previous prime is 11147057989. The next prime is 11147058023. The reversal of 11147058000 is 85074111.

11147058000 is a `hidden beast` number, since 1 + 1 + 14 + 70 + 580 + 0 + 0 = 666.

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 polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 141101961 + ... + 141102039.

Almost surely, 2^11147058000 is an apocalyptic number.

11147058000 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 11147058000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22282740480).

11147058000 is an abundant number, since it is smaller than the sum of its proper divisors (33418422960).

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

11147058000 is a wasteful number, since it uses less digits than its factorization.

11147058000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 27.

The spelling of 11147058000 in words is "eleven billion, one hundred forty-seven million, fifty-eight thousand".