93958471680 has 256 divisors, whose sum is σ = 316518321600. Its totient is φ = 23734517760.

The previous prime is 93958471667. The next prime is 93958471741. The reversal of 93958471680 is 8617485939.

It is a tau number, because it is divible by the number of its divisors (256).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9333850 + ... + 9343910.

Almost surely, 2^93958471680 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 93958471680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158259160800).

93958471680 is an abundant number, since it is smaller than the sum of its proper divisors (222559849920).

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

93958471680 is a wasteful number, since it uses less digits than its factorization.

93958471680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10118 (or 10090 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 60.

The spelling of 93958471680 in words is "ninety-three billion, nine hundred fifty-eight million, four hundred seventy-one thousand, six hundred eighty".