159900093600 has 432 divisors, whose sum is σ = 593282340000. Its totient is φ = 37286645760.

The previous prime is 159900093559. The next prime is 159900093601. The reversal of 159900093600 is 6390009951.

It is not an unprimeable number, because it can be changed into a prime (159900093601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7696026 + ... + 7716774.

It is an arithmetic number, because the mean of its divisors is an integer number (1373338750).

Almost surely, 2^159900093600 is an apocalyptic number.

159900093600 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 159900093600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296641170000).

159900093600 is an abundant number, since it is smaller than the sum of its proper divisors (433382246400).

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

159900093600 is a wasteful number, since it uses less digits than its factorization.

159900093600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20817 (or 20791 counting only the distinct ones).

The product of its (nonzero) digits is 65610, while the sum is 42.

The spelling of 159900093600 in words is "one hundred fifty-nine billion, nine hundred million, ninety-three thousand, six hundred".