520755079680 has 480 divisors, whose sum is σ = 1986679094400. Its totient is φ = 125011722240.

The previous prime is 520755079651. The next prime is 520755079727. The reversal of 520755079680 is 86970557025.

520755079680 is a `hidden beast` number, since 5 + 2 + 0 + 7 + 550 + 7 + 9 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-3 number, since 3×520755079680³ (a number of 36 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26094346 + ... + 26114294.

It is an arithmetic number, because the mean of its divisors is an integer number (4138914780).

Almost surely, 2^520755079680 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 520755079680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (993339547200).

520755079680 is an abundant number, since it is smaller than the sum of its proper divisors (1465924014720).

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

520755079680 is a wasteful number, since it uses less digits than its factorization.

520755079680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20092 (or 20073 counting only the distinct ones).

The product of its (nonzero) digits is 5292000, while the sum is 54.

The spelling of 520755079680 in words is "five hundred twenty billion, seven hundred fifty-five million, seventy-nine thousand, six hundred eighty".