93504079872 has 216 divisors, whose sum is σ = 314150914350. Its totient is φ = 26715193344.

The previous prime is 93504079843. The next prime is 93504079883. The reversal of 93504079872 is 27897040539.

It can be written as a sum of positive squares in only one way, i.e., 92669101056 + 834978816 = 304416^2 + 28896^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 851404 + ... + 954932.

Almost surely, 2^93504079872 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 93504079872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157075457175).

93504079872 is an abundant number, since it is smaller than the sum of its proper divisors (220646834478).

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

93504079872 is a wasteful number, since it uses less digits than its factorization.

93504079872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103571 (or 103541 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 93504079872 in words is "ninety-three billion, five hundred four million, seventy-nine thousand, eight hundred seventy-two".