159233130201600 has 6720 divisors, whose sum is σ = 768671364384000. Its totient is φ = 32446418780160.

The previous prime is 159233130201577. The next prime is 159233130201601. The reversal of 159233130201600 is 6102031332951.

159233130201600 is a `hidden beast` number, since 1 + 5 + 9 + 2 + 33 + 13 + 0 + 2 + 0 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (6720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (159233130201601) by changing a digit.

It is a polite number, since it can be written in 671 ways as a sum of consecutive naturals, for example, 1789136294356 + ... + 1789136294444.

It is an arithmetic number, because the mean of its divisors is an integer number (114385619700).

Almost surely, 2^{159233130201600} is an apocalyptic number.

159233130201600 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 159233130201600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384335682192000).

159233130201600 is an abundant number, since it is smaller than the sum of its proper divisors (609438234182400).

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

159233130201600 is an frugal number, since it uses more digits than its factorization.

159233130201600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The spelling of 159233130201600 in words is "one hundred fifty-nine trillion, two hundred thirty-three billion, one hundred thirty million, two hundred one thousand, six hundred".