829160252272 has 80 divisors (see below), whose sum is σ = 1817049129984. Its totient is φ = 363125952000.

The previous prime is 829160252161. The next prime is 829160252293. The reversal of 829160252272 is 272252061928.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 903772 + ... + 1573252.

Almost surely, 2^829160252272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 829160252272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (908524564992).

829160252272 is an abundant number, since it is smaller than the sum of its proper divisors (987888877712).

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

829160252272 is a wasteful number, since it uses less digits than its factorization.

829160252272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 669758 (or 669752 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 46.

The spelling of 829160252272 in words is "eight hundred twenty-nine billion, one hundred sixty million, two hundred fifty-two thousand, two hundred seventy-two".