159666444875520 has 864 divisors, whose sum is σ = 633332656180224. Its totient is φ = 36785000448000.

The previous prime is 159666444875459. The next prime is 159666444875537. The reversal of 159666444875520 is 25578444666951.

159666444875520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 201215545 + ... + 202007495.

It is an arithmetic number, because the mean of its divisors is an integer number (733023907616).

Almost surely, 2^{159666444875520} is an apocalyptic number.

159666444875520 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 159666444875520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316666328090112).

159666444875520 is an abundant number, since it is smaller than the sum of its proper divisors (473666211304704).

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

159666444875520 is a wasteful number, since it uses less digits than its factorization.

159666444875520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 792069 (or 792052 counting only the distinct ones).

The product of its (nonzero) digits is 1741824000, while the sum is 72.

The spelling of 159666444875520 in words is "one hundred fifty-nine trillion, six hundred sixty-six billion, four hundred forty-four million, eight hundred seventy-five thousand, five hundred twenty".