96588495360 has 960 divisors, whose sum is σ = 406880457984. Its totient is φ = 21499084800.

The previous prime is 96588495257. The next prime is 96588495371. The reversal of 96588495360 is 6359488569.

96588495360 is a `hidden beast` number, since 9 + 6 + 5 + 88 + 495 + 3 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 178536690 + ... + 178537230.

Almost surely, 2^96588495360 is an apocalyptic number.

96588495360 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 96588495360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203440228992).

96588495360 is an abundant number, since it is smaller than the sum of its proper divisors (310291962624).

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

96588495360 is an equidigital number, since it uses as much as digits as its factorization.

96588495360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 627 (or 599 counting only the distinct ones).

The product of its (nonzero) digits is 55987200, while the sum is 63.

The spelling of 96588495360 in words is "ninety-six billion, five hundred eighty-eight million, four hundred ninety-five thousand, three hundred sixty".