159983284032 has 448 divisors, whose sum is σ = 559436747520. Its totient is φ = 44744970240.

The previous prime is 159983283947. The next prime is 159983284049. The reversal of 159983284032 is 230482389951.

159983284032 is a `hidden beast` number, since 1 + 599 + 8 + 3 + 2 + 8 + 40 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 159983284032.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20011428 + ... + 20019420.

It is an arithmetic number, because the mean of its divisors is an integer number (1248742740).

Almost surely, 2^159983284032 is an apocalyptic number.

159983284032 is a gapful number since it is divisible by the number (12) 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 159983284032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279718373760).

159983284032 is an abundant number, since it is smaller than the sum of its proper divisors (399453463488).

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

159983284032 is an equidigital number, since it uses as much as digits as its factorization.

159983284032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8050 (or 8022 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 159983284032 in words is "one hundred fifty-nine billion, nine hundred eighty-three million, two hundred eighty-four thousand, thirty-two".