159889766400 has 2304 divisors, whose sum is σ = 764351078400. Its totient is φ = 31850496000.

The previous prime is 159889766383. The next prime is 159889766401. The reversal of 159889766400 is 4667988951.

159889766400 is a `hidden beast` number, since 1 + 5 + 9 + 88 + 97 + 66 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (159889766401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3899750380 + ... + 3899750420.

It is an arithmetic number, because the mean of its divisors is an integer number (331749600).

Almost surely, 2^159889766400 is an apocalyptic number.

159889766400 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 159889766400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382175539200).

159889766400 is an abundant number, since it is smaller than the sum of its proper divisors (604461312000).

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

159889766400 is a wasteful number, since it uses less digits than its factorization.

159889766400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 63.

The spelling of 159889766400 in words is "one hundred fifty-nine billion, eight hundred eighty-nine million, seven hundred sixty-six thousand, four hundred".