659480317526016 has 1176 divisors, whose sum is σ = 2321819424163904. Its totient is φ = 183275398103040.

The previous prime is 659480317525969. The next prime is 659480317526077. The reversal of 659480317526016 is 610625713084956.

It is a happy number.

659480317526016 is a `hidden beast` number, since 6 + 5 + 9 + 4 + 8 + 0 + 3 + 17 + 5 + 2 + 601 + 6 = 666.

It is a super-2 number, since 2×659480317526016² (a number of 30 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 197982681471 + ... + 197982684801.

It is a 1-persistent number, because it is pandigital, but 2⋅659480317526016 = 1318960635052032 is not.

Almost surely, 2^{659480317526016} 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 659480317526016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1160909712081952).

659480317526016 is an abundant number, since it is smaller than the sum of its proper divisors (1662339106637888).

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

659480317526016 is an frugal number, since it uses more digits than its factorization.

659480317526016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3433 (or 3380 counting only the distinct ones).

The product of its (nonzero) digits is 65318400, while the sum is 63.

The spelling of 659480317526016 in words is "six hundred fifty-nine trillion, four hundred eighty billion, three hundred seventeen million, five hundred twenty-six thousand, sixteen".