159479435520 has 1080 divisors, whose sum is σ = 620407307520. Its totient is φ = 39063306240.

The previous prime is 159479435459. The next prime is 159479435581. The reversal of 159479435520 is 25534974951.

159479435520 is a `hidden beast` number, since 1 + 5 + 9 + 4 + 79 + 43 + 5 + 520 = 666.

It is an interprime number because it is at equal distance from previous prime (159479435459) and next prime (159479435581).

It is a tau number, because it is divible by the number of its divisors (1080).

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

It is an unprimeable number.

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 119 ways as a sum of consecutive naturals, for example, 2703041251 + ... + 2703041309.

Almost surely, 2^159479435520 is an apocalyptic number.

159479435520 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 159479435520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310203653760).

159479435520 is an abundant number, since it is smaller than the sum of its proper divisors (460927872000).

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

159479435520 is an equidigital number, since it uses as much as digits as its factorization.

159479435520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 6804000, while the sum is 54.

The spelling of 159479435520 in words is "one hundred fifty-nine billion, four hundred seventy-nine million, four hundred thirty-five thousand, five hundred twenty".