96080748940800 has 2880 divisors, whose sum is σ = 403000401323520. Its totient is φ = 21654833725440.

The previous prime is 96080748940663. The next prime is 96080748940843. The reversal of 96080748940800 is 804984708069.

96080748940800 is a `hidden beast` number, since 9 + 6 + 0 + 80 + 74 + 89 + 408 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 276889766227 + ... + 276889766573.

It is an arithmetic number, because the mean of its divisors is an integer number (139930694904).

Almost surely, 2^{96080748940800} is an apocalyptic number.

96080748940800 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 96080748940800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201500200661760).

96080748940800 is an abundant number, since it is smaller than the sum of its proper divisors (306919652382720).

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

96080748940800 is a wasteful number, since it uses less digits than its factorization.

96080748940800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 713 (or 689 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 63.

The spelling of 96080748940800 in words is "ninety-six trillion, eighty billion, seven hundred forty-eight million, nine hundred forty thousand, eight hundred".