96442526488608 has 288 divisors, whose sum is σ = 294422831119872. Its totient is φ = 31022333337600.

The previous prime is 96442526488601. The next prime is 96442526488661. The reversal of 96442526488608 is 80688462524469.

96442526488608 is a `hidden beast` number, since 9 + 6 + 4 + 4 + 2 + 5 + 2 + 6 + 4 + 8 + 8 + 608 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (96442526488601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 84526078 + ... + 85659458.

It is an arithmetic number, because the mean of its divisors is an integer number (1022301496944).

Almost surely, 2^{96442526488608} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96442526488608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147211415559936).

96442526488608 is an abundant number, since it is smaller than the sum of its proper divisors (197980304631264).

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

96442526488608 is a wasteful number, since it uses less digits than its factorization.

96442526488608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1133790 (or 1133770 counting only the distinct ones).

The product of its (nonzero) digits is 1274019840, while the sum is 72.

The spelling of 96442526488608 in words is "ninety-six trillion, four hundred forty-two billion, five hundred twenty-six million, four hundred eighty-eight thousand, six hundred eight".