159519884160 has 1152 divisors, whose sum is σ = 653698252800. Its totient is φ = 32969244672.

The previous prime is 159519884141. The next prime is 159519884191. The reversal of 159519884160 is 61488915951.

It is a self number, because there is not a number n which added to its sum of digits gives 159519884160.

It is a congruent number.

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, 1256062017 + ... + 1256062143.

It is an arithmetic number, because the mean of its divisors is an integer number (567446400).

Almost surely, 2^159519884160 is an apocalyptic number.

159519884160 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 159519884160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326849126400).

159519884160 is an abundant number, since it is smaller than the sum of its proper divisors (494178368640).

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

159519884160 is a wasteful number, since it uses less digits than its factorization.

159519884160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 57.

The spelling of 159519884160 in words is "one hundred fifty-nine billion, five hundred nineteen million, eight hundred eighty-four thousand, one hundred sixty".