159104889156096 has 1920 divisors, whose sum is σ = 552396524359680. Its totient is φ = 45340375449600.

The previous prime is 159104889156091. The next prime is 159104889156107. The reversal of 159104889156096 is 690651988401951.

159104889156096 is a `hidden beast` number, since 1 + 5 + 9 + 1 + 0 + 4 + 8 + 8 + 9 + 1 + 5 + 609 + 6 = 666.

It is a super-2 number, since 2×159104889156096² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (159104889156091) 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, 155832408066 + ... + 155832409086.

It is an arithmetic number, because the mean of its divisors is an integer number (287706523104).

Almost surely, 2^{159104889156096} is an apocalyptic number.

159104889156096 is a gapful number since it is divisible by the number (16) 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 159104889156096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276198262179840).

159104889156096 is an abundant number, since it is smaller than the sum of its proper divisors (393291635203584).

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

159104889156096 is a wasteful number, since it uses less digits than its factorization.

159104889156096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1220 (or 1192 counting only the distinct ones).

The product of its (nonzero) digits is 167961600, while the sum is 72.

The spelling of 159104889156096 in words is "one hundred fifty-nine trillion, one hundred four billion, eight hundred eighty-nine million, one hundred fifty-six thousand, ninety-six".