29984960556601 has 32 divisors (see below), whose sum is σ = 31847343390720. Its totient is φ = 28197960465024.

The previous prime is 29984960556583. The next prime is 29984960556613. The reversal of 29984960556601 is 10665506948992.

It is a cyclic number.

It is not a de Polignac number, because 29984960556601 - 2⁵ = 29984960556569 is a prime.

It is a Smith number, since the sum of its digits (70) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (29984960556101) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56239810 + ... + 56770468.

It is an arithmetic number, because the mean of its divisors is an integer number (995229480960).

Almost surely, 2^{29984960556601} is an apocalyptic number.

It is an amenable number.

29984960556601 is a deficient number, since it is larger than the sum of its proper divisors (1862382834119).

29984960556601 is a wasteful number, since it uses less digits than its factorization.

29984960556601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 531205.

The product of its (nonzero) digits is 251942400, while the sum is 70.

The spelling of 29984960556601 in words is "twenty-nine trillion, nine hundred eighty-four billion, nine hundred sixty million, five hundred fifty-six thousand, six hundred one".