10164269760 has 112 divisors (see below), whose sum is σ = 32315664096. Its totient is φ = 2706767872.

The previous prime is 10164269749. The next prime is 10164269767. The reversal of 10164269760 is 6796246101.

10164269760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (10164269767) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 735232 + ... + 748928.

Almost surely, 2^10164269760 is an apocalyptic number.

10164269760 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 10164269760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16157832048).

10164269760 is an abundant number, since it is smaller than the sum of its proper divisors (22151394336).

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

10164269760 is a wasteful number, since it uses less digits than its factorization.

10164269760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14490 (or 14480 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The spelling of 10164269760 in words is "ten billion, one hundred sixty-four million, two hundred sixty-nine thousand, seven hundred sixty".