97593993216 has 72 divisors (see below), whose sum is σ = 281869423290. Its totient is φ = 32531324928.

The previous prime is 97593993209. The next prime is 97593993251. The reversal of 97593993216 is 61239939579.

97593993216 is a `hidden beast` number, since 9 + 7 + 593 + 9 + 9 + 32 + 1 + 6 = 666.

97593993216 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 67234415616 + 30359577600 = 259296^2 + 174240^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2628975 + ... + 2665838.

Almost surely, 2^97593993216 is an apocalyptic number.

97593993216 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

97593993216 is an abundant number, since it is smaller than the sum of its proper divisors (184275430074).

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

97593993216 is a wasteful number, since it uses less digits than its factorization.

97593993216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5294841 (or 5294818 counting only the distinct ones).

The product of its digits is 24800580, while the sum is 63.

The spelling of 97593993216 in words is "ninety-seven billion, five hundred ninety-three million, nine hundred ninety-three thousand, two hundred sixteen".