159991825906000 has 320 divisors, whose sum is σ = 436657587125760. Its totient is φ = 56162964480000.

The previous prime is 159991825905949. The next prime is 159991825906009. The reversal of 159991825906000 is 609528199951.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (159991825906009) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4383679752 + ... + 4383716248.

It is an arithmetic number, because the mean of its divisors is an integer number (1364554959768).

Almost surely, 2^{159991825906000} is an apocalyptic number.

159991825906000 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 159991825906000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218328793562880).

159991825906000 is an abundant number, since it is smaller than the sum of its proper divisors (276665761219760).

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

159991825906000 is a wasteful number, since it uses less digits than its factorization.

159991825906000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43431 (or 43415 counting only the distinct ones).

The product of its (nonzero) digits is 15746400, while the sum is 64.

The spelling of 159991825906000 in words is "one hundred fifty-nine trillion, nine hundred ninety-one billion, eight hundred twenty-five million, nine hundred six thousand".