96588398592 has 432 divisors, whose sum is σ = 333508810320. Its totient is φ = 27547140096.

The previous prime is 96588398591. The next prime is 96588398609. The reversal of 96588398592 is 29589388569.

96588398592 is a `hidden beast` number, since 9 + 6 + 588 + 39 + 8 + 5 + 9 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is a self number, because there is not a number n which added to its sum of digits gives 96588398592.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96588398591) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 173407978 + ... + 173408534.

It is an arithmetic number, because the mean of its divisors is an integer number (772011135).

Almost surely, 2^96588398592 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 96588398592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166754405160).

96588398592 is an abundant number, since it is smaller than the sum of its proper divisors (236920411728).

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

96588398592 is an frugal number, since it uses more digits than its factorization.

96588398592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 614 (or 569 counting only the distinct ones).

The product of its digits is 335923200, while the sum is 72.

The spelling of 96588398592 in words is "ninety-six billion, five hundred eighty-eight million, three hundred ninety-eight thousand, five hundred ninety-two".