11795126850 has 360 divisors, whose sum is σ = 37396869840. Its totient is φ = 2747571840.

The previous prime is 11795126843. The next prime is 11795126867. The reversal of 11795126850 is 5862159711.

11795126850 is a `hidden beast` number, since 1 + 1 + 79 + 512 + 68 + 5 + 0 = 666.

11795126850 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 11795126796 and 11795126805.

It is an unprimeable number.

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 179 ways as a sum of consecutive naturals, for example, 13004097 + ... + 13005003.

It is an arithmetic number, because the mean of its divisors is an integer number (103880194).

Almost surely, 2^11795126850 is an apocalyptic number.

11795126850 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 11795126850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18698434920).

11795126850 is an abundant number, since it is smaller than the sum of its proper divisors (25601742990).

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

11795126850 is a wasteful number, since it uses less digits than its factorization.

11795126850 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 976 (or 949 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 45.

The spelling of 11795126850 in words is "eleven billion, seven hundred ninety-five million, one hundred twenty-six thousand, eight hundred fifty".