93968754581504 has 336 divisors, whose sum is σ = 220030085923200. Its totient is φ = 39785028648960.

The previous prime is 93968754581489. The next prime is 93968754581549. The reversal of 93968754581504 is 40518545786939.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2526091097 + ... + 2526128295.

It is an arithmetic number, because the mean of its divisors is an integer number (654851446200).

Almost surely, 2^{93968754581504} 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 93968754581504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110015042961600).

93968754581504 is an abundant number, since it is smaller than the sum of its proper divisors (126061331341696).

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

93968754581504 is a wasteful number, since it uses less digits than its factorization.

93968754581504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37367 (or 37326 counting only the distinct ones).

The product of its (nonzero) digits is 1306368000, while the sum is 74.

The spelling of 93968754581504 in words is "ninety-three trillion, nine hundred sixty-eight billion, seven hundred fifty-four million, five hundred eighty-one thousand, five hundred four".