159943734864000 has 2048 divisors, whose sum is σ = 641594295014400. Its totient is φ = 39004471296000.

The previous prime is 159943734863993. The next prime is 159943734864071. The reversal of 159943734864000 is 468437349951.

159943734864000 is a `hidden beast` number, since 1 + 5 + 9 + 9 + 43 + 73 + 486 + 40 + 0 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 85212431062 + ... + 85212432938.

Almost surely, 2^{159943734864000} is an apocalyptic number.

159943734864000 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 159943734864000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320797147507200).

159943734864000 is an abundant number, since it is smaller than the sum of its proper divisors (481650560150400).

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

159943734864000 is a wasteful number, since it uses less digits than its factorization.

159943734864000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2256 (or 2228 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 63.

The spelling of 159943734864000 in words is "one hundred fifty-nine trillion, nine hundred forty-three billion, seven hundred thirty-four million, eight hundred sixty-four thousand".