11085015150 has 288 divisors, whose sum is σ = 35007223680. Its totient is φ = 2485728000.

The previous prime is 11085015133. The next prime is 11085015191. The reversal of 11085015150 is 5151058011.

11085015150 is a `hidden beast` number, since 1 + 1 + 0 + 8 + 501 + 5 + 150 = 666.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4042780 + ... + 4045520.

It is an arithmetic number, because the mean of its divisors is an integer number (121552860).

Almost surely, 2^11085015150 is an apocalyptic number.

11085015150 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11085015150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17503611840).

11085015150 is an abundant number, since it is smaller than the sum of its proper divisors (23922208530).

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

11085015150 is a wasteful number, since it uses less digits than its factorization.

11085015150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2832 (or 2824 counting only the distinct ones).

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

The spelling of 11085015150 in words is "eleven billion, eighty-five million, fifteen thousand, one hundred fifty".