93968207530496 has 640 divisors, whose sum is σ = 225707121319680. Its totient is φ = 38692237344768.

The previous prime is 93968207530471. The next prime is 93968207530501. The reversal of 93968207530496 is 69403570286939.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22736075246 + ... + 22736079378.

It is an arithmetic number, because the mean of its divisors is an integer number (352667377062).

Almost surely, 2^{93968207530496} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 93968207530496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112853560659840).

93968207530496 is an abundant number, since it is smaller than the sum of its proper divisors (131738913789184).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

93968207530496 is a wasteful number, since it uses less digits than its factorization.

93968207530496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4376 (or 4360 counting only the distinct ones).

The product of its (nonzero) digits is 529079040, while the sum is 71.

The spelling of 93968207530496 in words is "ninety-three trillion, nine hundred sixty-eight billion, two hundred seven million, five hundred thirty thousand, four hundred ninety-six".