159846435840 has 1584 divisors, whose sum is σ = 700734869856. Its totient is φ = 30718033920.

The previous prime is 159846435799. The next prime is 159846435863. The reversal of 159846435840 is 48534648951.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5156336625 + ... + 5156336655.

Almost surely, 2^159846435840 is an apocalyptic number.

159846435840 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 159846435840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350367434928).

159846435840 is an abundant number, since it is smaller than the sum of its proper divisors (540888434016).

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

159846435840 is a wasteful number, since it uses less digits than its factorization.

159846435840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 16588800, while the sum is 57.

It can be divided in two parts, 159846 and 435840, that added together give a triangular number (595686 = T₁₀₉₁).

The spelling of 159846435840 in words is "one hundred fifty-nine billion, eight hundred forty-six million, four hundred thirty-five thousand, eight hundred forty".