29379859971157 has 2 divisors, whose sum is σ = 29379859971158. Its totient is φ = 29379859971156.

The previous prime is 29379859971149. The next prime is 29379859971173. The reversal of 29379859971157 is 75117995897392.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 25488705265956 + 3891154705201 = 5048634^2 + 1972601^2 .

It is a cyclic number.

It is not a de Polignac number, because 29379859971157 - 2³ = 29379859971149 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (29379859971457) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 14689929985578 + 14689929985579.

It is an arithmetic number, because the mean of its divisors is an integer number (14689929985579).

Almost surely, 2^{29379859971157} is an apocalyptic number.

It is an amenable number.

29379859971157 is a deficient number, since it is larger than the sum of its proper divisors (1).

29379859971157 is an equidigital number, since it uses as much as digits as its factorization.

29379859971157 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2700507600, while the sum is 82.

The spelling of 29379859971157 in words is "twenty-nine trillion, three hundred seventy-nine billion, eight hundred fifty-nine million, nine hundred seventy-one thousand, one hundred fifty-seven".