96977617912560 has 1280 divisors, whose sum is σ = 391152450355200. Its totient is φ = 19697416704000.

The previous prime is 96977617912547. The next prime is 96977617912583. The reversal of 96977617912560 is 6521971677969.

It is a congruent number.

It is an unprimeable number.

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 255 ways as a sum of consecutive naturals, for example, 9003579975 + ... + 9003590745.

It is an arithmetic number, because the mean of its divisors is an integer number (305587851840).

Almost surely, 2^{96977617912560} 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 96977617912560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195576225177600).

96977617912560 is an abundant number, since it is smaller than the sum of its proper divisors (294174832442640).

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

96977617912560 is a wasteful number, since it uses less digits than its factorization.

96977617912560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11043 (or 11023 counting only the distinct ones).

The product of its (nonzero) digits is 540101520, while the sum is 75.

The spelling of 96977617912560 in words is "ninety-six trillion, nine hundred seventy-seven billion, six hundred seventeen million, nine hundred twelve thousand, five hundred sixty".