10727836119 has 144 divisors (see below), whose sum is σ = 21501567360. Its totient is φ = 5065441920.

The previous prime is 10727836117. The next prime is 10727836169. The reversal of 10727836119 is 91163872701.

10727836119 is a `hidden beast` number, since 1 + 0 + 7 + 27 + 8 + 3 + 611 + 9 = 666.

It is not a de Polignac number, because 10727836119 - 2¹ = 10727836117 is a prime.

It is a super-2 number, since 2×10727836119² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10727836117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4223952 + ... + 4226490.

It is an arithmetic number, because the mean of its divisors is an integer number (149316440).

Almost surely, 2^10727836119 is an apocalyptic number.

10727836119 is an abundant number, since it is smaller than the sum of its proper divisors (10773731241).

10727836119 is a wasteful number, since it uses less digits than its factorization.

10727836119 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2650 (or 2640 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 45.

The spelling of 10727836119 in words is "ten billion, seven hundred twenty-seven million, eight hundred thirty-six thousand, one hundred nineteen".