9993952593999 has 24 divisors (see below), whose sum is σ = 16045179473232. Its totient is φ = 5942659057920.

The previous prime is 9993952593991. The next prime is 9993952594013.

9993952593999 is a `hidden beast` number, since 9 + 9 + 9 + 3 + 9 + 5 + 2 + 593 + 9 + 9 + 9 = 666.

9993952593999 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 9993952593999 - 2³ = 9993952593991 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9993952593991) 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, 952343962 + ... + 952354455.

It is an arithmetic number, because the mean of its divisors is an integer number (668549144718).

Almost surely, 2^{9993952593999} is an apocalyptic number.

9993952593999 is a gapful number since it is divisible by the number (99) formed by its first and last digit.

9993952593999 is a deficient number, since it is larger than the sum of its proper divisors (6051226879233).

9993952593999 is a wasteful number, since it uses less digits than its factorization.

9993952593999 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1904698487 (or 1904698484 counting only the distinct ones).

The product of its digits is 19371024450, while the sum is 90.

The spelling of 9993952593999 in words is "nine trillion, nine hundred ninety-three billion, nine hundred fifty-two million, five hundred ninety-three thousand, nine hundred ninety-nine".