96882762113280 has 720 divisors, whose sum is σ = 407269938487104. Its totient is φ = 21680055336960.

The previous prime is 96882762113279. The next prime is 96882762113327. The reversal of 96882762113280 is 8231126728869.

96882762113280 is a `hidden beast` number, since 9 + 6 + 88 + 276 + 2 + 1 + 1 + 3 + 280 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 79 ways as a sum of consecutive naturals, for example, 11558967 + ... + 18093513.

Almost surely, 2^{96882762113280} is an apocalyptic number.

96882762113280 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 96882762113280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203634969243552).

96882762113280 is an abundant number, since it is smaller than the sum of its proper divisors (310387176373824).

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

96882762113280 is a wasteful number, since it uses less digits than its factorization.

96882762113280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6534604 (or 6534581 counting only the distinct ones).

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

The spelling of 96882762113280 in words is "ninety-six trillion, eight hundred eighty-two billion, seven hundred sixty-two million, one hundred thirteen thousand, two hundred eighty".