520049586168 has 256 divisors, whose sum is σ = 1692617472000. Its totient is φ = 144841651200.

The previous prime is 520049586157. The next prime is 520049586187. The reversal of 520049586168 is 861685940025.

520049586168 is a `hidden beast` number, since 5 + 2 + 0 + 0 + 49 + 586 + 16 + 8 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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

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, 96642838 + ... + 96648218.

It is an arithmetic number, because the mean of its divisors is an integer number (6611787000).

Almost surely, 2^520049586168 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 520049586168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (846308736000).

520049586168 is an abundant number, since it is smaller than the sum of its proper divisors (1172567885832).

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

520049586168 is a wasteful number, since it uses less digits than its factorization.

520049586168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7003 (or 6993 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 520049586168 in words is "five hundred twenty billion, forty-nine million, five hundred eighty-six thousand, one hundred sixty-eight".