29116110690 has 128 divisors (see below), whose sum is σ = 79359920640. Its totient is φ = 7594041600.

The previous prime is 29116110689. The next prime is 29116110713. The reversal of 29116110690 is 9601161192.

29116110690 is a `hidden beast` number, since 29 + 11 + 611 + 0 + 6 + 9 + 0 = 666.

It is a super-2 number, since 2×29116110690² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2976187 + ... + 2985953.

It is an arithmetic number, because the mean of its divisors is an integer number (619999380).

Almost surely, 2^29116110690 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29116110690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39679960320).

29116110690 is an abundant number, since it is smaller than the sum of its proper divisors (50243809950).

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

29116110690 is a wasteful number, since it uses less digits than its factorization.

29116110690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10025 (or 10019 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 36.

The spelling of 29116110690 in words is "twenty-nine billion, one hundred sixteen million, one hundred ten thousand, six hundred ninety".