159199655155200 has 1440 divisors, whose sum is σ = 640904284500480. Its totient is φ = 37408147046400.

The previous prime is 159199655155153. The next prime is 159199655155231. The reversal of 159199655155200 is 2551556991951.

159199655155200 is a `hidden beast` number, since 1 + 5 + 9 + 1 + 9 + 9 + 6 + 551 + 55 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a congruent number.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 5574398521 + ... + 5574427079.

It is an arithmetic number, because the mean of its divisors is an integer number (445072419792).

Almost surely, 2^{159199655155200} is an apocalyptic number.

159199655155200 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 159199655155200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320452142250240).

159199655155200 is an abundant number, since it is smaller than the sum of its proper divisors (481704629345280).

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

159199655155200 is a wasteful number, since it uses less digits than its factorization.

159199655155200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28740 (or 28716 counting only the distinct ones).

The product of its (nonzero) digits is 27337500, while the sum is 63.

The spelling of 159199655155200 in words is "one hundred fifty-nine trillion, one hundred ninety-nine billion, six hundred fifty-five million, one hundred fifty-five thousand, two hundred".