516858996528 has 240 divisors, whose sum is σ = 1752230278656. Its totient is φ = 138839685120.

The previous prime is 516858996523. The next prime is 516858996557. The reversal of 516858996528 is 825699858615.

516858996528 is a `hidden beast` number, since 5 + 1 + 6 + 8 + 5 + 8 + 9 + 96 + 528 = 666.

It is a super-2 number, since 2×516858996528² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (516858996523) 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 47 ways as a sum of consecutive naturals, for example, 16623525 + ... + 16654587.

Almost surely, 2^516858996528 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 516858996528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (876115139328).

516858996528 is an abundant number, since it is smaller than the sum of its proper divisors (1235371282128).

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

516858996528 is a wasteful number, since it uses less digits than its factorization.

516858996528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32072 (or 32063 counting only the distinct ones).

The product of its digits is 373248000, while the sum is 72.

The spelling of 516858996528 in words is "five hundred sixteen billion, eight hundred fifty-eight million, nine hundred ninety-six thousand, five hundred twenty-eight".