159768867951 has 96 divisors (see below), whose sum is σ = 304818329088. Its totient is φ = 78070763520.

The previous prime is 159768867911. The next prime is 159768867977.

159768867951 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 159768867951 - 2²⁹ = 159231997039 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 159768867951.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (159768867901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 33373180 + ... + 33377966.

It is an arithmetic number, because the mean of its divisors is an integer number (3175190928).

Almost surely, 2^159768867951 is an apocalyptic number.

159768867951 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

159768867951 is a deficient number, since it is larger than the sum of its proper divisors (145049461137).

159768867951 is a wasteful number, since it uses less digits than its factorization.

159768867951 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7661 (or 7658 counting only the distinct ones).

The product of its digits is 228614400, while the sum is 72.

The spelling of 159768867951 in words is "one hundred fifty-nine billion, seven hundred sixty-eight million, eight hundred sixty-seven thousand, nine hundred fifty-one".