29785815408993 has 24 divisors (see below), whose sum is σ = 46330781313600. Its totient is φ = 16971696675360.

The previous prime is 29785815408991. The next prime is 29785815409013. The reversal of 29785815408993 is 39980451858792.

It is not a de Polignac number, because 29785815408993 - 2¹ = 29785815408991 is a prime.

It is not an unprimeable number, because it can be changed into a prime (29785815408991) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 290241813 + ... + 290344418.

It is an arithmetic number, because the mean of its divisors is an integer number (1930449221400).

Almost surely, 2^{29785815408993} is an apocalyptic number.

It is an amenable number.

29785815408993 is a deficient number, since it is larger than the sum of its proper divisors (16544965904607).

29785815408993 is a wasteful number, since it uses less digits than its factorization.

29785815408993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 580586597 (or 580586590 counting only the distinct ones).

The product of its (nonzero) digits is 1567641600, while the sum is 78.

The spelling of 29785815408993 in words is "twenty-nine trillion, seven hundred eighty-five billion, eight hundred fifteen million, four hundred eight thousand, nine hundred ninety-three".