10834660272 has 60 divisors (see below), whose sum is σ = 28766632776. Its totient is φ = 3513922560.

The previous prime is 10834660261. The next prime is 10834660273. The reversal of 10834660272 is 27206643801.

It is a happy number.

10834660272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10834660272² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10834660272.

It is not an unprimeable number, because it can be changed into a prime (10834660273) 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 11 ways as a sum of consecutive naturals, for example, 16729 + ... + 148152.

Almost surely, 2^10834660272 is an apocalyptic number.

10834660272 is a gapful number since it is divisible by the number (12) 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 10834660272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14383316388).

10834660272 is an abundant number, since it is smaller than the sum of its proper divisors (17931972504).

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

10834660272 is a wasteful number, since it uses less digits than its factorization.

10834660272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164966 (or 164923 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The spelling of 10834660272 in words is "ten billion, eight hundred thirty-four million, six hundred sixty thousand, two hundred seventy-two".