11150385000 has 320 divisors, whose sum is σ = 37450512000. Its totient is φ = 2755584000.

The previous prime is 11150384941. The next prime is 11150385023. The reversal of 11150385000 is 58305111.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 18614701 + ... + 18615299.

It is an arithmetic number, because the mean of its divisors is an integer number (117032850).

Almost surely, 2^11150385000 is an apocalyptic number.

11150385000 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 11150385000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18725256000).

11150385000 is an abundant number, since it is smaller than the sum of its proper divisors (26300127000).

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

11150385000 is a wasteful number, since it uses less digits than its factorization.

11150385000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 718 (or 699 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 24.

The spelling of 11150385000 in words is "eleven billion, one hundred fifty million, three hundred eighty-five thousand".