29052092160 has 1296 divisors, whose sum is σ = 130534631136. Its totient is φ = 5908267008.

The previous prime is 29052092159. The next prime is 29052092171. The reversal of 29052092160 is 6129025092.

It is a happy number.

29052092160 is a `hidden beast` number, since 290 + 5 + 209 + 2 + 160 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 271514827 + ... + 271514933.

It is an arithmetic number, because the mean of its divisors is an integer number (100721166).

Almost surely, 2^29052092160 is an apocalyptic number.

29052092160 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 29052092160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65267315568).

29052092160 is an abundant number, since it is smaller than the sum of its proper divisors (101482538976).

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

29052092160 is a wasteful number, since it uses less digits than its factorization.

29052092160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 29052092160 in words is "twenty-nine billion, fifty-two million, ninety-two thousand, one hundred sixty".