159963091706880 has 3168 divisors, whose sum is σ = 731321332245504. Its totient is φ = 31389990912000.

The previous prime is 159963091706833. The next prime is 159963091706947. The reversal of 159963091706880 is 88607190369951.

159963091706880 is a `hidden beast` number, since 1 + 5 + 9 + 96 + 309 + 170 + 68 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3168).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 159963091706799 and 159963091706808.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 146620615135 + ... + 146620616225.

It is an arithmetic number, because the mean of its divisors is an integer number (230846380128).

Almost surely, 2^{159963091706880} is an apocalyptic number.

159963091706880 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 159963091706880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365660666122752).

159963091706880 is an abundant number, since it is smaller than the sum of its proper divisors (571358240538624).

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

159963091706880 is a wasteful number, since it uses less digits than its factorization.

159963091706880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1245 (or 1193 counting only the distinct ones).

The product of its (nonzero) digits is 176359680, while the sum is 72.

The spelling of 159963091706880 in words is "one hundred fifty-nine trillion, nine hundred sixty-three billion, ninety-one million, seven hundred six thousand, eight hundred eighty".