520681113239040 has 800 divisors, whose sum is σ = 2017378717998336. Its totient is φ = 127592768471040.

The previous prime is 520681113239033. The next prime is 520681113239051. The reversal of 520681113239040 is 40932311186025.

520681113239040 is a `hidden beast` number, since 5 + 20 + 68 + 11 + 132 + 390 + 40 = 666.

It is a super-2 number, since 2×520681113239040² (a number of 30 digits) contains 22 as substring.

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

It is a congruent number.

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 79 ways as a sum of consecutive naturals, for example, 600703560 + ... + 601569720.

Almost surely, 2^{520681113239040} 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 520681113239040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1008689358999168).

520681113239040 is an abundant number, since it is smaller than the sum of its proper divisors (1496697604759296).

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

520681113239040 is a wasteful number, since it uses less digits than its factorization.

520681113239040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 866432 (or 866407 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 520681113239040 in words is "five hundred twenty trillion, six hundred eighty-one billion, one hundred thirteen million, two hundred thirty-nine thousand, forty".