96131112929280 has 1728 divisors, whose sum is σ = 407126670612480. Its totient is φ = 20816953344000.

The previous prime is 96131112929273. The next prime is 96131112929281. The reversal of 96131112929280 is 8292921113169.

It is a happy number.

96131112929280 is a `hidden beast` number, since 9 + 6 + 1 + 311 + 1 + 29 + 29 + 280 = 666.

It is a super-3 number, since 3×96131112929280³ (a number of 43 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (96131112929281) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 4493987385 + ... + 4494008775.

It is an arithmetic number, because the mean of its divisors is an integer number (235605712160).

Almost surely, 2^{96131112929280} is an apocalyptic number.

96131112929280 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 96131112929280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203563335306240).

96131112929280 is an abundant number, since it is smaller than the sum of its proper divisors (310995557683200).

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

96131112929280 is a wasteful number, since it uses less digits than its factorization.

96131112929280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21490 (or 21456 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 54.

The spelling of 96131112929280 in words is "ninety-six trillion, one hundred thirty-one billion, one hundred twelve million, nine hundred twenty-nine thousand, two hundred eighty".