29117664660 has 384 divisors, whose sum is σ = 101072240640. Its totient is φ = 6119410176.

The previous prime is 29117664623. The next prime is 29117664691. The reversal of 29117664660 is 6646671192.

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 127 ways as a sum of consecutive naturals, for example, 26786637 + ... + 26787723.

It is an arithmetic number, because the mean of its divisors is an integer number (263208960).

Almost surely, 2^29117664660 is an apocalyptic number.

29117664660 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 29117664660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50536120320).

29117664660 is an abundant number, since it is smaller than the sum of its proper divisors (71954575980).

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

29117664660 is a wasteful number, since it uses less digits than its factorization.

29117664660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1235 (or 1233 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 48.

The spelling of 29117664660 in words is "twenty-nine billion, one hundred seventeen million, six hundred sixty-four thousand, six hundred sixty".