10727165000 has 40 divisors (see below), whose sum is σ = 25133759310. Its totient is φ = 4290864000.

The previous prime is 10727164993. The next prime is 10727165051. The reversal of 10727165000 is 56172701.

10727165000 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 5 ways, for example, as 106213636 + 10620951364 = 10306^2 + 103058^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

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 9 ways as a sum of consecutive naturals, for example, 1067717 + ... + 1077716.

Almost surely, 2^10727165000 is an apocalyptic number.

10727165000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10727165000 is an abundant number, since it is smaller than the sum of its proper divisors (14406594310).

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

10727165000 is an equidigital number, since it uses as much as digits as its factorization.

10727165000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2145459 (or 2145440 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 29.

It can be divided in two parts, 107271 and 65000, that added together give a palindrome (172271).

The spelling of 10727165000 in words is "ten billion, seven hundred twenty-seven million, one hundred sixty-five thousand".