29116668672 has 864 divisors, whose sum is σ = 114504062400. Its totient is φ = 7208828928.

The previous prime is 29116668649. The next prime is 29116668673. The reversal of 29116668672 is 27686661192.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29116668673) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 74849854 + ... + 74850242.

It is an arithmetic number, because the mean of its divisors is an integer number (132527850).

Almost surely, 2^29116668672 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 29116668672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57252031200).

29116668672 is an abundant number, since it is smaller than the sum of its proper divisors (85387393728).

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

29116668672 is a wasteful number, since it uses less digits than its factorization.

29116668672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458 (or 431 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The spelling of 29116668672 in words is "twenty-nine billion, one hundred sixteen million, six hundred sixty-eight thousand, six hundred seventy-two".