29103292160 has 144 divisors (see below), whose sum is σ = 71265368160. Its totient is φ = 11383357440.

The previous prime is 29103292159. The next prime is 29103292177. The reversal of 29103292160 is 6129230192.

It is a super-2 number, since 2×29103292160² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 29103292160.

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 15 ways as a sum of consecutive naturals, for example, 28560131 + ... + 28561149.

It is an arithmetic number, because the mean of its divisors is an integer number (494898390).

Almost surely, 2^29103292160 is an apocalyptic number.

29103292160 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 29103292160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35632684080).

29103292160 is an abundant number, since it is smaller than the sum of its proper divisors (42162076000).

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

29103292160 is a wasteful number, since it uses less digits than its factorization.

29103292160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1514 (or 1500 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 35.

The spelling of 29103292160 in words is "twenty-nine billion, one hundred three million, two hundred ninety-two thousand, one hundred sixty".