93718658087040 has 1024 divisors, whose sum is σ = 353173453516800. Its totient is φ = 20696956600320.

The previous prime is 93718658087003. The next prime is 93718658087137. The reversal of 93718658087040 is 4078085681739.

93718658087040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 19569564966 + ... + 19569569754.

It is an arithmetic number, because the mean of its divisors is an integer number (344895950700).

Almost surely, 2^{93718658087040} 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 93718658087040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176586726758400).

93718658087040 is an abundant number, since it is smaller than the sum of its proper divisors (259454795429760).

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

93718658087040 is a wasteful number, since it uses less digits than its factorization.

93718658087040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5285 (or 5273 counting only the distinct ones).

The product of its (nonzero) digits is 81285120, while the sum is 66.

The spelling of 93718658087040 in words is "ninety-three trillion, seven hundred eighteen billion, six hundred fifty-eight million, eighty-seven thousand, forty".