159559349040 has 960 divisors, whose sum is σ = 697185377280. Its totient is φ = 32822599680.

The previous prime is 159559348973. The next prime is 159559349041. The reversal of 159559349040 is 40943955951.

159559349040 is a `hidden beast` number, since 1 + 5 + 9 + 5 + 593 + 4 + 9 + 0 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (159559349041) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 104765719 + ... + 104767241.

It is an arithmetic number, because the mean of its divisors is an integer number (726234768).

Almost surely, 2^159559349040 is an apocalyptic number.

159559349040 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 159559349040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348592688640).

159559349040 is an abundant number, since it is smaller than the sum of its proper divisors (537626028240).

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

159559349040 is a wasteful number, since it uses less digits than its factorization.

159559349040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1619 (or 1594 counting only the distinct ones).

The product of its (nonzero) digits is 4374000, while the sum is 54.

The spelling of 159559349040 in words is "one hundred fifty-nine billion, five hundred fifty-nine million, three hundred forty-nine thousand, forty".