659471616000 has 1152 divisors, whose sum is σ = 2556174348000. Its totient is φ = 162948710400.

The previous prime is 659471615989. The next prime is 659471616061. The reversal of 659471616000 is 616174956.

659471616000 is a `hidden beast` number, since 65 + 9 + 471 + 61 + 60 + 0 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 215979549696 + 443492066304 = 464736^2 + 665952^2 .

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 an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 4425983926 + ... + 4425984074.

Almost surely, 2^659471616000 is an apocalyptic number.

659471616000 is a gapful number since it is divisible by the number (60) 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 659471616000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1278087174000).

659471616000 is an abundant number, since it is smaller than the sum of its proper divisors (1896702732000).

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

659471616000 is a wasteful number, since it uses less digits than its factorization.

659471616000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 659471616000 in words is "six hundred fifty-nine billion, four hundred seventy-one million, six hundred sixteen thousand".