519372799528968 has 1280 divisors, whose sum is σ = 1892549583175680. Its totient is φ = 129671604000000.

The previous prime is 519372799528907. The next prime is 519372799528993. The reversal of 519372799528968 is 869825997273915.

519372799528968 is a `hidden beast` number, since 5 + 1 + 9 + 3 + 7 + 2 + 79 + 9 + 528 + 9 + 6 + 8 = 666.

It is a super-2 number, since 2×519372799528968² (a number of 30 digits) contains 22 as substring.

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 319 ways as a sum of consecutive naturals, for example, 56755847193 + ... + 56755856343.

It is an arithmetic number, because the mean of its divisors is an integer number (1478554361856).

Almost surely, 2^{519372799528968} 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 519372799528968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (946274791587840).

519372799528968 is an abundant number, since it is smaller than the sum of its proper divisors (1373176783646712).

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

519372799528968 is a wasteful number, since it uses less digits than its factorization.

519372799528968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9384 (or 9356 counting only the distinct ones).

The product of its digits is 37035532800, while the sum is 90.

The spelling of 519372799528968 in words is "five hundred nineteen trillion, three hundred seventy-two billion, seven hundred ninety-nine million, five hundred twenty-eight thousand, nine hundred sixty-eight".