93120206400 has 1008 divisors, whose sum is σ = 390797643600. Its totient is φ = 20808990720.

The previous prime is 93120206369. The next prime is 93120206407. The reversal of 93120206400 is 460202139.

93120206400 is a `hidden beast` number, since 9 + 3 + 12 + 0 + 2 + 0 + 640 + 0 = 666.

It can be written as a sum of positive squares in 24 ways, for example, as 71007326784 + 22112879616 = 266472^2 + 148704^2 .

It is not an unprimeable number, because it can be changed into a prime (93120206407) 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 143 ways as a sum of consecutive naturals, for example, 92289096 + ... + 92290104.

It is an arithmetic number, because the mean of its divisors is an integer number (387696075).

Almost surely, 2^93120206400 is an apocalyptic number.

93120206400 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 93120206400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195398821800).

93120206400 is an abundant number, since it is smaller than the sum of its proper divisors (297677437200).

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

93120206400 is a wasteful number, since it uses less digits than its factorization.

93120206400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1096 (or 1078 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 93120206400 its reverse (460202139), we get a palindrome (93580408539).

The spelling of 93120206400 in words is "ninety-three billion, one hundred twenty million, two hundred six thousand, four hundred".