11685166013250 has 192 divisors, whose sum is σ = 31784431861728. Its totient is φ = 3097543680000.

The previous prime is 11685166013207. The next prime is 11685166013251. The reversal of 11685166013250 is 5231066158611.

It is a happy number.

11685166013250 is a `hidden beast` number, since 1 + 1 + 6 + 8 + 5 + 1 + 6 + 601 + 32 + 5 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 476443682001 + 11208722331249 = 690249^2 + 3347943^2 .

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 = 11685166013196 and 11685166013205.

It is not an unprimeable number, because it can be changed into a prime (11685166013251) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 1368762982 + ... + 1368771518.

Almost surely, 2^{11685166013250} is an apocalyptic number.

11685166013250 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 11685166013250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15892215930864).

11685166013250 is an abundant number, since it is smaller than the sum of its proper divisors (20099265848478).

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

11685166013250 is a wasteful number, since it uses less digits than its factorization.

11685166013250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12102 (or 12089 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 11685166013250 in words is "eleven trillion, six hundred eighty-five billion, one hundred sixty-six million, thirteen thousand, two hundred fifty".