96289240320 has 1152 divisors, whose sum is σ = 445530516480. Its totient is φ = 19110297600.

The previous prime is 96289240249. The next prime is 96289240321. The reversal of 96289240320 is 2304298269.

96289240320 is a `hidden beast` number, since 9 + 6 + 2 + 89 + 240 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96289240321) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 53463420 + ... + 53465220.

It is an arithmetic number, because the mean of its divisors is an integer number (386745240).

Almost surely, 2^96289240320 is an apocalyptic number.

96289240320 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 96289240320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222765258240).

96289240320 is an abundant number, since it is smaller than the sum of its proper divisors (349241276160).

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

96289240320 is a wasteful number, since it uses less digits than its factorization.

96289240320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1868 (or 1848 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 96289240320 in words is "ninety-six billion, two hundred eighty-nine million, two hundred forty thousand, three hundred twenty".