159735034368 has 1280 divisors, whose sum is σ = 631359590400. Its totient is φ = 38698352640.

The previous prime is 159735034337. The next prime is 159735034411. The reversal of 159735034368 is 863430537951.

159735034368 is a `hidden beast` number, since 1 + 5 + 9 + 73 + 503 + 4 + 3 + 68 = 666.

It is a super-2 number, since 2×159735034368² (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 979969455 + ... + 979969617.

It is an arithmetic number, because the mean of its divisors is an integer number (493249680).

Almost surely, 2^159735034368 is an apocalyptic number.

159735034368 is a gapful number since it is divisible by the number (18) 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 159735034368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315679795200).

159735034368 is an abundant number, since it is smaller than the sum of its proper divisors (471624556032).

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

159735034368 is a wasteful number, since it uses less digits than its factorization.

159735034368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 54.

The spelling of 159735034368 in words is "one hundred fifty-nine billion, seven hundred thirty-five million, thirty-four thousand, three hundred sixty-eight".