96018585901056 has 864 divisors, whose sum is σ = 351176055310080. Its totient is φ = 24734421024768.

The previous prime is 96018585901039. The next prime is 96018585901057. The reversal of 96018585901056 is 65010958581069.

96018585901056 is a `hidden beast` number, since 9 + 601 + 8 + 5 + 8 + 5 + 9 + 0 + 10 + 5 + 6 = 666.

96018585901056 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 96018585900984 and 96018585901002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96018585901057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 937566205 + ... + 937668611.

It is an arithmetic number, because the mean of its divisors is an integer number (406453767720).

Almost surely, 2^{96018585901056} is an apocalyptic number.

96018585901056 is a gapful number since it is divisible by the number (96) 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 96018585901056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175588027655040).

96018585901056 is an abundant number, since it is smaller than the sum of its proper divisors (255157469409024).

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

96018585901056 is a wasteful number, since it uses less digits than its factorization.

96018585901056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102511 (or 102475 counting only the distinct ones).

The product of its (nonzero) digits is 23328000, while the sum is 63.

The spelling of 96018585901056 in words is "ninety-six trillion, eighteen billion, five hundred eighty-five million, nine hundred one thousand, fifty-six".