159761387520 has 1170 divisors, whose sum is σ = 681819806538. Its totient is φ = 34594947072.

The previous prime is 159761387497. The next prime is 159761387531. The reversal of 159761387520 is 25783167951.

159761387520 is a `hidden beast` number, since 1 + 59 + 7 + 61 + 3 + 8 + 7 + 520 = 666.

It can be written as a sum of positive squares in only one way, i.e., 127809110016 + 31952277504 = 357504^2 + 178752^2 .

It is a super-2 number, since 2×159761387520² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 8408494071 + ... + 8408494089.

Almost surely, 2^159761387520 is an apocalyptic number.

159761387520 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 159761387520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340909903269).

159761387520 is an abundant number, since it is smaller than the sum of its proper divisors (522058419018).

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

159761387520 is an frugal number, since it uses more digits than its factorization.

159761387520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 3175200, while the sum is 54.

The spelling of 159761387520 in words is "one hundred fifty-nine billion, seven hundred sixty-one million, three hundred eighty-seven thousand, five hundred twenty".