159879505978951 has 24 divisors (see below), whose sum is σ = 176058190429632. Its totient is φ = 145077995620800.

The previous prime is 159879505978939. The next prime is 159879505978967.

159879505978951 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 159879505978951 - 2¹⁵ = 159879505946183 is a prime.

It is a super-2 number, since 2×159879505978951² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (159879505978051) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2710206066 + ... + 2710265056.

It is an arithmetic number, because the mean of its divisors is an integer number (7335757934568).

Almost surely, 2^{159879505978951} is an apocalyptic number.

159879505978951 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

159879505978951 is a deficient number, since it is larger than the sum of its proper divisors (16178684450681).

159879505978951 is a wasteful number, since it uses less digits than its factorization.

159879505978951 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99783 (or 99772 counting only the distinct ones).

The product of its (nonzero) digits is 12859560000, while the sum is 88.

The spelling of 159879505978951 in words is "one hundred fifty-nine trillion, eight hundred seventy-nine billion, five hundred five million, nine hundred seventy-eight thousand, nine hundred fifty-one".