159440025600 has 432 divisors, whose sum is σ = 574497214200. Its totient is φ = 42257940480.

The previous prime is 159440025587. The next prime is 159440025653. The reversal of 159440025600 is 6520044951.

159440025600 is a `hidden beast` number, since 1 + 5 + 9 + 4 + 40 + 0 + 2 + 5 + 600 = 666.

It is a super-2 number, since 2×159440025600² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 82482234 + ... + 82484166.

Almost surely, 2^159440025600 is an apocalyptic number.

159440025600 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 159440025600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287248607100).

159440025600 is an abundant number, since it is smaller than the sum of its proper divisors (415057188600).

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

159440025600 is a wasteful number, since it uses less digits than its factorization.

159440025600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2150 (or 2122 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 159440025600 in words is "one hundred fifty-nine billion, four hundred forty million, twenty-five thousand, six hundred".