29867961106516 has 96 divisors (see below), whose sum is σ = 59900079415680. Its totient is φ = 12936524649984.

The previous prime is 29867961106469. The next prime is 29867961106531. The reversal of 29867961106516 is 61560116976892.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 3534115 + ... + 8498581.

It is an arithmetic number, because the mean of its divisors is an integer number (623959160580).

Almost surely, 2^{29867961106516} is an apocalyptic number.

29867961106516 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

29867961106516 is an abundant number, since it is smaller than the sum of its proper divisors (30032118309164).

29867961106516 is a wasteful number, since it uses less digits than its factorization.

29867961106516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4964633 (or 4964631 counting only the distinct ones).

The product of its (nonzero) digits is 58786560, while the sum is 67.

The spelling of 29867961106516 in words is "twenty-nine trillion, eight hundred sixty-seven billion, nine hundred sixty-one million, one hundred six thousand, five hundred sixteen".