659481413800320 has 2048 divisors, whose sum is σ = 2516935680000000. Its totient is φ = 162804019986432.

The previous prime is 659481413800249. The next prime is 659481413800333. The reversal of 659481413800320 is 23008314184956.

It is a happy number.

659481413800320 is a `hidden beast` number, since 6 + 5 + 9 + 481 + 4 + 138 + 0 + 0 + 3 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1295641284226 + ... + 1295641284734.

It is an arithmetic number, because the mean of its divisors is an integer number (1228972500000).

Almost surely, 2^{659481413800320} is an apocalyptic number.

659481413800320 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 659481413800320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1258467840000000).

659481413800320 is an abundant number, since it is smaller than the sum of its proper divisors (1857454266199680).

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

659481413800320 is a wasteful number, since it uses less digits than its factorization.

659481413800320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1245 (or 1227 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 659481413800320 in words is "six hundred fifty-nine trillion, four hundred eighty-one billion, four hundred thirteen million, eight hundred thousand, three hundred twenty".