29559327048801 has 81 divisors (see below), whose sum is σ = 47661502543473. Its totient is φ = 17640182791440.

The previous prime is 29559327048787. The next prime is 29559327048809. The reversal of 29559327048801 is 10884072395592.

The square root of 29559327048801 is 5436849.

It is a perfect power (a square), and thus also a powerful number.

29559327048801 is a `hidden beast` number, since 2 + 9 + 5 + 59 + 32 + 70 + 488 + 0 + 1 = 666.

It is not a de Polignac number, because 29559327048801 - 2²¹ = 29559324951649 is a prime.

It is not an unprimeable number, because it can be changed into a prime (29559327048809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 12020871910 + ... + 12020874368.

Almost surely, 2^{29559327048801} is an apocalyptic number.

29559327048801 is the 5436849-th square number.

29559327048801 is the 2718425-th centered octagonal number.

It is an amenable number.

29559327048801 is a deficient number, since it is larger than the sum of its proper divisors (18102175494672).

29559327048801 is an frugal number, since it uses more digits than its factorization.

29559327048801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5080 (or 2540 counting only the distinct ones).

The product of its (nonzero) digits is 43545600, while the sum is 63.

The spelling of 29559327048801 in words is "twenty-nine trillion, five hundred fifty-nine billion, three hundred twenty-seven million, forty-eight thousand, eight hundred one".