159687761688 has 960 divisors, whose sum is σ = 583982784000. Its totient is φ = 40385060352.

The previous prime is 159687761683. The next prime is 159687761707. The reversal of 159687761688 is 886167786951.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (159687761683) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1923948895 + ... + 1923948977.

It is an arithmetic number, because the mean of its divisors is an integer number (608315400).

Almost surely, 2^159687761688 is an apocalyptic number.

159687761688 is a gapful number since it is divisible by the number (18) 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 159687761688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291991392000).

159687761688 is an abundant number, since it is smaller than the sum of its proper divisors (424295022312).

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

159687761688 is a wasteful number, since it uses less digits than its factorization.

159687761688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 246 counting only the distinct ones).

The product of its digits is 243855360, while the sum is 72.

The spelling of 159687761688 in words is "one hundred fifty-nine billion, six hundred eighty-seven million, seven hundred sixty-one thousand, six hundred eighty-eight".