97776579828928 has 2688 divisors, whose sum is σ = 298582634004480. Its totient is φ = 31115943936000.

The previous prime is 97776579828919. The next prime is 97776579828929. The reversal of 97776579828928 is 82982897567779.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (97776579828929) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1339405203100 + ... + 1339405203172.

It is an arithmetic number, because the mean of its divisors is an integer number (111079848960).

Almost surely, 2^{97776579828928} is an apocalyptic number.

97776579828928 is a gapful number since it is divisible by the number (98) 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 97776579828928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149291317002240).

97776579828928 is an abundant number, since it is smaller than the sum of its proper divisors (200806054175552).

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

97776579828928 is a wasteful number, since it uses less digits than its factorization.

97776579828928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 290 counting only the distinct ones).

The product of its digits is 107540213760, while the sum is 94.

The spelling of 97776579828928 in words is "ninety-seven trillion, seven hundred seventy-six billion, five hundred seventy-nine million, eight hundred twenty-eight thousand, nine hundred twenty-eight".