96972988569600 has 2880 divisors, whose sum is σ = 395674525209600. Its totient is φ = 20803977216000.

The previous prime is 96972988569581. The next prime is 96972988569629. The reversal of 96972988569600 is 696588927969.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 906289612747 + ... + 906289612853.

It is an arithmetic number, because the mean of its divisors is an integer number (137386987920).

Almost surely, 2^{96972988569600} 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 96972988569600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197837262604800).

96972988569600 is an abundant number, since it is smaller than the sum of its proper divisors (298701536640000).

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

96972988569600 is a wasteful number, since it uses less digits than its factorization.

96972988569600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 6348948480, while the sum is 84.

The spelling of 96972988569600 in words is "ninety-six trillion, nine hundred seventy-two billion, nine hundred eighty-eight million, five hundred sixty-nine thousand, six hundred".