159714420667200 has 4704 divisors, whose sum is σ = 759941585625600. Its totient is φ = 32832685670400.

The previous prime is 159714420667181. The next prime is 159714420667357. The reversal of 159714420667200 is 2766024417951.

159714420667200 is a `hidden beast` number, since 1 + 5 + 9 + 7 + 1 + 4 + 420 + 6 + 6 + 7 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (4704).

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 (19) of ones.

It is a polite number, since it can be written in 671 ways as a sum of consecutive naturals, for example, 156429402690 + ... + 156429403710.

Almost surely, 2^{159714420667200} is an apocalyptic number.

159714420667200 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 159714420667200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379970792812800).

159714420667200 is an abundant number, since it is smaller than the sum of its proper divisors (600227164958400).

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

159714420667200 is a wasteful number, since it uses less digits than its factorization.

159714420667200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1122 (or 1078 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 159714420667200 in words is "one hundred fifty-nine trillion, seven hundred fourteen billion, four hundred twenty million, six hundred sixty-seven thousand, two hundred".