39906688660993 has 16 divisors (see below), whose sum is σ = 49792755245184. Its totient is φ = 31071770040960.

The previous prime is 39906688660931. The next prime is 39906688660997.

39906688660993 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 39906688660993 - 2⁴⁵ = 4722316572161 is a prime.

It is not an unprimeable number, because it can be changed into a prime (39906688660997) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 202825980 + ... + 203022637.

It is an arithmetic number, because the mean of its divisors is an integer number (3112047202824).

Almost surely, 2^{39906688660993} is an apocalyptic number.

It is an amenable number.

39906688660993 is a deficient number, since it is larger than the sum of its proper divisors (9886066584191).

39906688660993 is a wasteful number, since it uses less digits than its factorization.

39906688660993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405849912.

The product of its (nonzero) digits is 4897760256, while the sum is 82.

The spelling of 39906688660993 in words is "thirty-nine trillion, nine hundred six billion, six hundred eighty-eight million, six hundred sixty thousand, nine hundred ninety-three".