11610150000 has 480 divisors, whose sum is σ = 41324230080. Its totient is φ = 2795520000.

The previous prime is 11610149989. The next prime is 11610150053. The reversal of 11610150000 is 5101611.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 73949922 + ... + 73950078.

It is an arithmetic number, because the mean of its divisors is an integer number (86092146).

Almost surely, 2^11610150000 is an apocalyptic number.

11610150000 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 11610150000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20662115040).

11610150000 is an abundant number, since it is smaller than the sum of its proper divisors (29714080080).

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

11610150000 is a wasteful number, since it uses less digits than its factorization.

11610150000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 15.

Adding to 11610150000 its reverse (5101611), we get a palindrome (11615251611).

The spelling of 11610150000 in words is "eleven billion, six hundred ten million, one hundred fifty thousand".