159968811340800 has 7920 divisors, whose sum is σ = 820145315911680. Its totient is φ = 30474952704000.

The previous prime is 159968811340763. The next prime is 159968811340823. The reversal of 159968811340800 is 8043118869951.

159968811340800 is a `hidden beast` number, since 1 + 5 + 99 + 68 + 81 + 1 + 3 + 408 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (7920).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 719 ways as a sum of consecutive naturals, for example, 5160284236785 + ... + 5160284236815.

It is an arithmetic number, because the mean of its divisors is an integer number (103553701504).

Almost surely, 2^{159968811340800} is an apocalyptic number.

159968811340800 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 159968811340800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410072657955840).

159968811340800 is an abundant number, since it is smaller than the sum of its proper divisors (660176504570880).

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

159968811340800 is an equidigital number, since it uses as much as digits as its factorization.

159968811340800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 63.

The spelling of 159968811340800 in words is "one hundred fifty-nine trillion, nine hundred sixty-eight billion, eight hundred eleven million, three hundred forty thousand, eight hundred".