829455565554928 has 80 divisors (see below), whose sum is σ = 1748052159438816. Its totient is φ = 378986354611200.

The previous prime is 829455565554899. The next prime is 829455565554929.

829455565554928 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (829455565554929) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 160414075 + ... + 165504037.

Almost surely, 2^{829455565554928} 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 829455565554928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (874026079719408).

829455565554928 is an abundant number, since it is smaller than the sum of its proper divisors (918596593883888).

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

829455565554928 is a wasteful number, since it uses less digits than its factorization.

829455565554928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5097842 (or 5097836 counting only the distinct ones).

The product of its digits is 31104000000, while the sum is 82.

The spelling of 829455565554928 in words is "eight hundred twenty-nine trillion, four hundred fifty-five billion, five hundred sixty-five million, five hundred fifty-four thousand, nine hundred twenty-eight".