520159742640 has 480 divisors, whose sum is σ = 1953047229120. Its totient is φ = 123293270016.

The previous prime is 520159742611. The next prime is 520159742653. The reversal of 520159742640 is 46247951025.

520159742640 is a `hidden beast` number, since 52 + 0 + 1 + 597 + 4 + 2 + 6 + 4 + 0 = 666.

It is a super-2 number, since 2×520159742640² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 78369402 + ... + 78376038.

It is an arithmetic number, because the mean of its divisors is an integer number (4068848394).

Almost surely, 2^520159742640 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 520159742640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (976523614560).

520159742640 is an abundant number, since it is smaller than the sum of its proper divisors (1432887486480).

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

520159742640 is a wasteful number, since it uses less digits than its factorization.

520159742640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7029 (or 7020 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 520159742640 in words is "five hundred twenty billion, one hundred fifty-nine million, seven hundred forty-two thousand, six hundred forty".