659465578207040 has 224 divisors, whose sum is σ = 1730947997649024. Its totient is φ = 237309398876160.

The previous prime is 659465578207031. The next prime is 659465578207057. The reversal of 659465578207040 is 40702875564956.

It is a super-2 number, since 2×659465578207040² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3560102264 + ... + 3560287496.

It is an arithmetic number, because the mean of its divisors is an integer number (7727446418076).

Almost surely, 2^{659465578207040} 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 659465578207040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (865473998824512).

659465578207040 is an abundant number, since it is smaller than the sum of its proper divisors (1071482419441984).

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

659465578207040 is a wasteful number, since it uses less digits than its factorization.

659465578207040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195785 (or 195775 counting only the distinct ones).

The product of its (nonzero) digits is 508032000, while the sum is 68.

The spelling of 659465578207040 in words is "six hundred fifty-nine trillion, four hundred sixty-five billion, five hundred seventy-eight million, two hundred seven thousand, forty".