159186079324272 has 1920 divisors, whose sum is σ = 613914242973696. Its totient is φ = 34464393216000.

The previous prime is 159186079324147. The next prime is 159186079324289. The reversal of 159186079324272 is 272423970681951.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 15450453873 + ... + 15450464175.

It is a 1-persistent number, because it is pandigital, but 2⋅159186079324272 = 318372158648544 is not.

Almost surely, 2^{159186079324272} is an apocalyptic number.

159186079324272 is a gapful number since it is divisible by the number (12) 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 159186079324272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306957121486848).

159186079324272 is an abundant number, since it is smaller than the sum of its proper divisors (454728163649424).

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

159186079324272 is a wasteful number, since it uses less digits than its factorization.

159186079324272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10451 (or 10434 counting only the distinct ones).

The product of its (nonzero) digits is 91445760, while the sum is 66.

The spelling of 159186079324272 in words is "one hundred fifty-nine trillion, one hundred eighty-six billion, seventy-nine million, three hundred twenty-four thousand, two hundred seventy-two".