160282829628032 has 128 divisors (see below), whose sum is σ = 324232083040320. Its totient is φ = 78910748467200.

The previous prime is 160282829628007. The next prime is 160282829628043. The reversal of 160282829628032 is 230826928282061.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15220090607 + ... + 15220101137.

Almost surely, 2^{160282829628032} 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 160282829628032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162116041520160).

160282829628032 is an abundant number, since it is smaller than the sum of its proper divisors (163949253412288).

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

160282829628032 is a wasteful number, since it uses less digits than its factorization.

160282829628032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13202 (or 13190 counting only the distinct ones).

The product of its (nonzero) digits is 15925248, while the sum is 59.

The spelling of 160282829628032 in words is "one hundred sixty trillion, two hundred eighty-two billion, eight hundred twenty-nine million, six hundred twenty-eight thousand, thirty-two".