159965412433920 has 896 divisors, whose sum is σ = 578441422540800. Its totient is φ = 41935233613824.

The previous prime is 159965412433919. The next prime is 159965412433927. The reversal of 159965412433920 is 29334214569951.

159965412433920 is a `hidden beast` number, since 1 + 5 + 9 + 96 + 5 + 412 + 43 + 3 + 92 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (159965412433927) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 15833451589 + ... + 15833461691.

It is an arithmetic number, because the mean of its divisors is an integer number (645581944800).

Almost surely, 2^{159965412433920} is an apocalyptic number.

159965412433920 is a gapful number since it is divisible by the number (10) 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 159965412433920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289220711270400).

159965412433920 is an abundant number, since it is smaller than the sum of its proper divisors (418476010106880).

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

159965412433920 is a wasteful number, since it uses less digits than its factorization.

159965412433920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10385 (or 10355 counting only the distinct ones).

The product of its (nonzero) digits is 62985600, while the sum is 63.

The spelling of 159965412433920 in words is "one hundred fifty-nine trillion, nine hundred sixty-five billion, four hundred twelve million, four hundred thirty-three thousand, nine hundred twenty".