516904005150 has 576 divisors, whose sum is σ = 1623734199360. Its totient is φ = 116751974400.

The previous prime is 516904005143. The next prime is 516904005169. The reversal of 516904005150 is 51500409615.

516904005150 is a `hidden beast` number, since 5 + 16 + 90 + 40 + 0 + 515 + 0 = 666.

It is a super-2 number, since 2×516904005150² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 843236244 + ... + 843236856.

It is an arithmetic number, because the mean of its divisors is an integer number (2818982985).

Almost surely, 2^516904005150 is an apocalyptic number.

516904005150 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 516904005150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (811867099680).

516904005150 is an abundant number, since it is smaller than the sum of its proper divisors (1106830194210).

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

516904005150 is a wasteful number, since it uses less digits than its factorization.

516904005150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 861 (or 853 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 36.

The spelling of 516904005150 in words is "five hundred sixteen billion, nine hundred four million, five thousand, one hundred fifty".