29997984509957 has 8 divisors (see below), whose sum is σ = 30506747705280. Its totient is φ = 29489232074080.

The previous prime is 29997984509953. The next prime is 29997984509971. The reversal of 29997984509957 is 75990548979992.

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

It is a cyclic number.

It is not a de Polignac number, because 29997984509957 - 2² = 29997984509953 is a prime.

It is a super-2 number, since 2×29997984509957² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29997984509953) 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, 3036032 + ... + 8319462.

It is an arithmetic number, because the mean of its divisors is an integer number (3813343463160).

Almost surely, 2^{29997984509957} is an apocalyptic number.

It is an amenable number.

29997984509957 is a deficient number, since it is larger than the sum of its proper divisors (508763195323).

29997984509957 is an equidigital number, since it uses as much as digits as its factorization.

29997984509957 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5379723.

The product of its (nonzero) digits is 41664974400, while the sum is 92.

The spelling of 29997984509957 in words is "twenty-nine trillion, nine hundred ninety-seven billion, nine hundred eighty-four million, five hundred nine thousand, nine hundred fifty-seven".