11150505000 has 360 divisors, whose sum is σ = 38998789830. Its totient is φ = 2877120000.

The previous prime is 11150504957. The next prime is 11150505001. The reversal of 11150505000 is 50505111.

11150505000 is a `hidden beast` number, since 1 + 115 + 0 + 50 + 500 + 0 = 666.

It can be written as a sum of positive squares in 15 ways, for example, as 3161363076 + 7989141924 = 56226^2 + 89382^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (11150505001) by changing a digit.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 61604910 + ... + 61605090.

Almost surely, 2^11150505000 is an apocalyptic number.

11150505000 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 11150505000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19499394915).

11150505000 is an abundant number, since it is smaller than the sum of its proper divisors (27848284830).

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

11150505000 is a wasteful number, since it uses less digits than its factorization.

11150505000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 125, while the sum is 18.

The spelling of 11150505000 in words is "eleven billion, one hundred fifty million, five hundred five thousand".