93161104588800 has 540 divisors, whose sum is σ = 333847666053720. Its totient is φ = 24832982384640.

The previous prime is 93161104588777. The next prime is 93161104588831. The reversal of 93161104588800 is 888540116139.

It is a happy number.

93161104588800 is a `hidden beast` number, since 93 + 16 + 1 + 10 + 458 + 8 + 80 + 0 = 666.

It is a super-3 number, since 3×93161104588800³ (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 16120624311 + ... + 16120630089.

It is an arithmetic number, because the mean of its divisors is an integer number (618236418618).

Almost surely, 2^{93161104588800} is an apocalyptic number.

93161104588800 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 93161104588800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166923833026860).

93161104588800 is an abundant number, since it is smaller than the sum of its proper divisors (240686561464920).

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

93161104588800 is a wasteful number, since it uses less digits than its factorization.

93161104588800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10196 (or 10162 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 54.

The spelling of 93161104588800 in words is "ninety-three trillion, one hundred sixty-one billion, one hundred four million, five hundred eighty-eight thousand, eight hundred".