520057940832000 has 1152 divisors, whose sum is σ = 1941664422297600. Its totient is φ = 137074581504000.

The previous prime is 520057940831987. The next prime is 520057940832029. The reversal of 520057940832000 is 238049750025.

520057940832000 is a `hidden beast` number, since 5 + 2 + 0 + 0 + 579 + 40 + 8 + 32 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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 polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 29736279256 + ... + 29736296744.

It is an arithmetic number, because the mean of its divisors is an integer number (1685472588800).

Almost surely, 2^{520057940832000} is an apocalyptic number.

520057940832000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 520057940832000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (970832211148800).

520057940832000 is an abundant number, since it is smaller than the sum of its proper divisors (1421606481465600).

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

520057940832000 is a wasteful number, since it uses less digits than its factorization.

520057940832000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17927 (or 17897 counting only the distinct ones).

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

The spelling of 520057940832000 in words is "five hundred twenty trillion, fifty-seven billion, nine hundred forty million, eight hundred thirty-two thousand".