11385886500 has 168 divisors, whose sum is σ = 37284302328. Its totient is φ = 3036139200.

The previous prime is 11385886483. The next prime is 11385886513. The reversal of 11385886500 is 568858311.

11385886500 is a `hidden beast` number, since 1 + 1 + 3 + 8 + 588 + 65 + 0 + 0 = 666.

11385886500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 142884 + 11385743616 = 378^2 + 106704^2 .

It is a super-2 number, since 2×11385886500² (a number of 21 digits) contains 22 as substring.

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

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 55 ways as a sum of consecutive naturals, for example, 348882 + ... + 380118.

It is an arithmetic number, because the mean of its divisors is an integer number (221930371).

Almost surely, 2^11385886500 is an apocalyptic number.

11385886500 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 11385886500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18642151164).

11385886500 is an abundant number, since it is smaller than the sum of its proper divisors (25898415828).

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

11385886500 is an equidigital number, since it uses as much as digits as its factorization.

11385886500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31274 (or 31247 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 45.

The spelling of 11385886500 in words is "eleven billion, three hundred eighty-five million, eight hundred eighty-six thousand, five hundred".