29110801968 has 240 divisors, whose sum is σ = 89149532160. Its totient is φ = 8833536000.

The previous prime is 29110801879. The next prime is 29110801991. The reversal of 29110801968 is 86910801192.

It is a super-2 number, since 2×29110801968² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12806080 + ... + 12808352.

It is an arithmetic number, because the mean of its divisors is an integer number (371456384).

Almost surely, 2^29110801968 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 29110801968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44574766080).

29110801968 is an abundant number, since it is smaller than the sum of its proper divisors (60038730192).

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

29110801968 is a wasteful number, since it uses less digits than its factorization.

29110801968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2488 (or 2479 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 45.

The spelling of 29110801968 in words is "twenty-nine billion, one hundred ten million, eight hundred one thousand, nine hundred sixty-eight".