96975940944960 has 1344 divisors, whose sum is σ = 450157592586240. Its totient is φ = 19090226810880.

The previous prime is 96975940944947. The next prime is 96975940945007. The reversal of 96975940944960 is 6944904957969.

96975940944960 is a `hidden beast` number, since 9 + 6 + 9 + 75 + 9 + 40 + 9 + 449 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a self number, because there is not a number n which added to its sum of digits gives 96975940944960.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 239964187 + ... + 240367973.

It is an arithmetic number, because the mean of its divisors is an integer number (334938684960).

Almost surely, 2^{96975940944960} is an apocalyptic number.

96975940944960 is a gapful number since it is divisible by the number (90) 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 96975940944960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225078796293120).

96975940944960 is an abundant number, since it is smaller than the sum of its proper divisors (353181651641280).

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

96975940944960 is a wasteful number, since it uses less digits than its factorization.

96975940944960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 403869 (or 403834 counting only the distinct ones).

The product of its (nonzero) digits is 4761711360, while the sum is 81.

The spelling of 96975940944960 in words is "ninety-six trillion, nine hundred seventy-five billion, nine hundred forty million, nine hundred forty-four thousand, nine hundred sixty".