11630251050 has 96 divisors (see below), whose sum is σ = 32134800384. Its totient is φ = 2759448000.

The previous prime is 11630251049. The next prime is 11630251051. The reversal of 11630251050 is 5015203611.

11630251050 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11630251049) and next prime (11630251051).

It is a super-2 number, since 2×11630251050² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11630251050.

It is not an unprimeable number, because it can be changed into a prime (11630251051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2565 + ... + 152535.

It is an arithmetic number, because the mean of its divisors is an integer number (334737504).

Almost surely, 2^11630251050 is an apocalyptic number.

11630251050 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 11630251050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16067400192).

11630251050 is an abundant number, since it is smaller than the sum of its proper divisors (20504549334).

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

11630251050 is a wasteful number, since it uses less digits than its factorization.

11630251050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150044 (or 150039 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

Adding to 11630251050 its reverse (5015203611), we get a palindrome (16645454661).

The spelling of 11630251050 in words is "eleven billion, six hundred thirty million, two hundred fifty-one thousand, fifty".