159979350240 has 384 divisors, whose sum is σ = 565497313920. Its totient is φ = 42239361024.

The previous prime is 159979350191. The next prime is 159979350259. The reversal of 159979350240 is 42053979951.

159979350240 is a `hidden beast` number, since 1 + 5 + 9 + 9 + 7 + 93 + 502 + 40 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 269779384 + ... + 269779976.

It is an arithmetic number, because the mean of its divisors is an integer number (1472649255).

Almost surely, 2^159979350240 is an apocalyptic number.

159979350240 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 159979350240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282748656960).

159979350240 is an abundant number, since it is smaller than the sum of its proper divisors (405517963680).

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

159979350240 is a wasteful number, since it uses less digits than its factorization.

159979350240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1131 (or 1117 counting only the distinct ones).

The product of its (nonzero) digits is 3061800, while the sum is 54.

The spelling of 159979350240 in words is "one hundred fifty-nine billion, nine hundred seventy-nine million, three hundred fifty thousand, two hundred forty".