97716559776 has 576 divisors, whose sum is σ = 314271135360. Its totient is φ = 26320896000.

The previous prime is 97716559757. The next prime is 97716559777. The reversal of 97716559776 is 67795561779.

It is a self number, because there is not a number n which added to its sum of digits gives 97716559776.

It is not an unprimeable number, because it can be changed into a prime (97716559777) 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 95 ways as a sum of consecutive naturals, for example, 539870406 + ... + 539870586.

It is an arithmetic number, because the mean of its divisors is an integer number (545609610).

Almost surely, 2^97716559776 is an apocalyptic number.

97716559776 is a gapful number since it is divisible by the number (96) 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 97716559776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157135567680).

97716559776 is an abundant number, since it is smaller than the sum of its proper divisors (216554575584).

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

97716559776 is a wasteful number, since it uses less digits than its factorization.

97716559776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 304 counting only the distinct ones).

The product of its digits is 175032900, while the sum is 69.

The spelling of 97716559776 in words is "ninety-seven billion, seven hundred sixteen million, five hundred fifty-nine thousand, seven hundred seventy-six".