96985075649680 has 160 divisors (see below), whose sum is σ = 231921737308800. Its totient is φ = 37702634213376.

The previous prime is 96985075649629. The next prime is 96985075649701. The reversal of 96985075649680 is 8694657058969.

It is a super-2 number, since 2×96985075649680² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 96985075649594 and 96985075649603.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4269261682 + ... + 4269284398.

It is an arithmetic number, because the mean of its divisors is an integer number (1449510858180).

Almost surely, 2^{96985075649680} 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 96985075649680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115960868654400).

96985075649680 is an abundant number, since it is smaller than the sum of its proper divisors (134936661659120).

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

96985075649680 is a wasteful number, since it uses less digits than its factorization.

96985075649680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33041 (or 33035 counting only the distinct ones).

The product of its (nonzero) digits is 7054387200, while the sum is 82.

The spelling of 96985075649680 in words is "ninety-six trillion, nine hundred eighty-five billion, seventy-five million, six hundred forty-nine thousand, six hundred eighty".