93500080128 has 648 divisors, whose sum is σ = 339259179168. Its totient is φ = 24291311616.

The previous prime is 93500080117. The next prime is 93500080153. The reversal of 93500080128 is 82108000539.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 93500080092 and 93500080101.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1395523551 + ... + 1395523617.

It is an arithmetic number, because the mean of its divisors is an integer number (523548116).

Almost surely, 2^93500080128 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 93500080128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169629589584).

93500080128 is an abundant number, since it is smaller than the sum of its proper divisors (245759099040).

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

93500080128 is an equidigital number, since it uses as much as digits as its factorization.

93500080128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 93500080128 in words is "ninety-three billion, five hundred million, eighty thousand, one hundred twenty-eight".