29082695984160 has 1536 divisors, whose sum is σ = 120217441075200. Its totient is φ = 5865534259200.

The previous prime is 29082695984159. The next prime is 29082695984189. The reversal of 29082695984160 is 6148959628092.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 5507040720 + ... + 5507046000.

It is an arithmetic number, because the mean of its divisors is an integer number (78266563200).

Almost surely, 2^{29082695984160} is an apocalyptic number.

29082695984160 is a gapful number since it is divisible by the number (20) 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 29082695984160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60108720537600).

29082695984160 is an abundant number, since it is smaller than the sum of its proper divisors (91134745091040).

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

29082695984160 is a wasteful number, since it uses less digits than its factorization.

29082695984160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5447 (or 5425 counting only the distinct ones).

The product of its (nonzero) digits is 134369280, while the sum is 69.

The spelling of 29082695984160 in words is "twenty-nine trillion, eighty-two billion, six hundred ninety-five million, nine hundred eighty-four thousand, one hundred sixty".