159330842058240 has 240 divisors, whose sum is σ = 551924581150800. Its totient is φ = 42479210889216.

The previous prime is 159330842058233. The next prime is 159330842058247. The reversal of 159330842058240 is 42850248033951.

159330842058240 is a `hidden beast` number, since 1 + 5 + 9 + 3 + 30 + 8 + 4 + 20 + 582 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (159330842058233) and next prime (159330842058247).

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (159330842058247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 108224991 + ... + 109687329.

It is an arithmetic number, because the mean of its divisors is an integer number (2299685754795).

Almost surely, 2^{159330842058240} is an apocalyptic number.

159330842058240 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 159330842058240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275962290575400).

159330842058240 is an abundant number, since it is smaller than the sum of its proper divisors (392593739092560).

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

159330842058240 is a wasteful number, since it uses less digits than its factorization.

159330842058240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1467097 (or 1467078 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 159330842058240 in words is "one hundred fifty-nine trillion, three hundred thirty billion, eight hundred forty-two million, fifty-eight thousand, two hundred forty".