97168708800 has 252 divisors, whose sum is σ = 365676780456. Its totient is φ = 24387379200.

The previous prime is 97168708789. The next prime is 97168708843. The reversal of 97168708800 is 880786179.

97168708800 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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 46335 + ... + 443265.

Almost surely, 2^97168708800 is an apocalyptic number.

97168708800 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 97168708800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182838390228).

97168708800 is an abundant number, since it is smaller than the sum of its proper divisors (268508071656).

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

97168708800 is a wasteful number, since it uses less digits than its factorization.

97168708800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396976 (or 396958 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 54.

The spelling of 97168708800 in words is "ninety-seven billion, one hundred sixty-eight million, seven hundred eight thousand, eight hundred".