29966929005311 has 8 divisors (see below), whose sum is σ = 30017495312448. Its totient is φ = 29916365040000.

The previous prime is 29966929005287. The next prime is 29966929005361. The reversal of 29966929005311 is 11350092966992.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-29966929005311 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29966929005361) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26049866 + ... + 27175896.

It is an arithmetic number, because the mean of its divisors is an integer number (3752186914056).

Almost surely, 2^{29966929005311} is an apocalyptic number.

29966929005311 is a deficient number, since it is larger than the sum of its proper divisors (50566307137).

29966929005311 is a wasteful number, since it uses less digits than its factorization.

29966929005311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1170913.

The product of its (nonzero) digits is 14171760, while the sum is 62.

The spelling of 29966929005311 in words is "twenty-nine trillion, nine hundred sixty-six billion, nine hundred twenty-nine million, five thousand, three hundred eleven".