93017134080 has 880 divisors, whose sum is σ = 365514678144. Its totient is φ = 22574039040.

The previous prime is 93017134079. The next prime is 93017134121. The reversal of 93017134080 is 8043171039.

It is a happy number.

93017134080 is a `hidden beast` number, since 9 + 301 + 7 + 1 + 340 + 8 + 0 = 666.

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

It is a congruent number.

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 79 ways as a sum of consecutive naturals, for example, 1310100445 + ... + 1310100515.

Almost surely, 2^93017134080 is an apocalyptic number.

93017134080 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 93017134080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182757339072).

93017134080 is an abundant number, since it is smaller than the sum of its proper divisors (272497544064).

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

93017134080 is an frugal number, since it uses more digits than its factorization.

93017134080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 93017134080 in words is "ninety-three billion, seventeen million, one hundred thirty-four thousand, eighty".