520688816640 has 1920 divisors, whose sum is σ = 2165698529280. Its totient is φ = 114661785600.

The previous prime is 520688816633. The next prime is 520688816663. The reversal of 520688816640 is 46618886025.

520688816640 is a `hidden beast` number, since 520 + 68 + 8 + 8 + 16 + 6 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×520688816640² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8535882210 + ... + 8535882270.

It is an arithmetic number, because the mean of its divisors is an integer number (1127967984).

Almost surely, 2^520688816640 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 520688816640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1082849264640).

520688816640 is an abundant number, since it is smaller than the sum of its proper divisors (1645009712640).

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

520688816640 is a wasteful number, since it uses less digits than its factorization.

520688816640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 520688816640 in words is "five hundred twenty billion, six hundred eighty-eight million, eight hundred sixteen thousand, six hundred forty".