96909153120882 has 128 divisors (see below), whose sum is σ = 219707751628800. Its totient is φ = 31653560054592.

The previous prime is 96909153120833. The next prime is 96909153120917. The reversal of 96909153120882 is 28802135190969.

96909153120882 is a `hidden beast` number, since 9 + 6 + 9 + 0 + 91 + 531 + 2 + 0 + 8 + 8 + 2 = 666.

It is a super-3 number, since 3×96909153120882³ (a number of 43 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2102447028 + ... + 2102493120.

It is an arithmetic number, because the mean of its divisors is an integer number (1716466809600).

Almost surely, 2^{96909153120882} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96909153120882, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109853875814400).

96909153120882 is an abundant number, since it is smaller than the sum of its proper divisors (122798598507918).

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

96909153120882 is a wasteful number, since it uses less digits than its factorization.

96909153120882 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48269 (or 48263 counting only the distinct ones).

The product of its (nonzero) digits is 16796160, while the sum is 63.

The spelling of 96909153120882 in words is "ninety-six trillion, nine hundred nine billion, one hundred fifty-three million, one hundred twenty thousand, eight hundred eighty-two".