97133825568 has 192 divisors, whose sum is σ = 282860024832. Its totient is φ = 28996531200.

The previous prime is 97133825567. The next prime is 97133825669. The reversal of 97133825568 is 86552833179.

It is a happy number.

It is a Cunningham number, because it is equal to 311663²-1.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (97133825563) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8097271 + ... + 8109257.

It is an arithmetic number, because the mean of its divisors is an integer number (1473229296).

Almost surely, 2^97133825568 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97133825568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141430012416).

97133825568 is an abundant number, since it is smaller than the sum of its proper divisors (185726199264).

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

97133825568 is a wasteful number, since it uses less digits than its factorization.

97133825568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12207 (or 12199 counting only the distinct ones).

The product of its digits is 10886400, while the sum is 57.

The spelling of 97133825568 in words is "ninety-seven billion, one hundred thirty-three million, eight hundred twenty-five thousand, five hundred sixty-eight".