517940946432 has 1920 divisors, whose sum is σ = 2122141317120. Its totient is φ = 122974765056.

The previous prime is 517940946403. The next prime is 517940946433. The reversal of 517940946432 is 234649049715.

517940946432 is a `hidden beast` number, since 5 + 179 + 4 + 0 + 9 + 464 + 3 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (517940946433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 22519171573 + ... + 22519171595.

It is an arithmetic number, because the mean of its divisors is an integer number (1105281936).

Almost surely, 2^517940946432 is an apocalyptic number.

517940946432 is a gapful number since it is divisible by the number (52) 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 517940946432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1061070658560).

517940946432 is an abundant number, since it is smaller than the sum of its proper divisors (1604200370688).

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

517940946432 is an equidigital number, since it uses as much as digits as its factorization.

517940946432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 517940946432 in words is "five hundred seventeen billion, nine hundred forty million, nine hundred forty-six thousand, four hundred thirty-two".