93381760883040 has 768 divisors, whose sum is σ = 359517908090880. Its totient is φ = 19898766581760.

The previous prime is 93381760883023. The next prime is 93381760883077. The reversal of 93381760883040 is 4038806718339.

93381760883040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4367092189 + ... + 4367113571.

It is an arithmetic number, because the mean of its divisors is an integer number (468122276160).

Almost surely, 2^{93381760883040} 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 93381760883040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179758954045440).

93381760883040 is an abundant number, since it is smaller than the sum of its proper divisors (266136147207840).

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

93381760883040 is a wasteful number, since it uses less digits than its factorization.

93381760883040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22515 (or 22507 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 60.

The spelling of 93381760883040 in words is "ninety-three trillion, three hundred eighty-one billion, seven hundred sixty million, eight hundred eighty-three thousand, forty".