516095229048 has 256 divisors, whose sum is σ = 1616595148800. Its totient is φ = 134002874880.

The previous prime is 516095229019. The next prime is 516095229059. The reversal of 516095229048 is 840922590615.

It is a super-2 number, since 2×516095229048² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 8354611 + ... + 8416157.

It is an arithmetic number, because the mean of its divisors is an integer number (6314824800).

Almost surely, 2^516095229048 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 516095229048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (808297574400).

516095229048 is an abundant number, since it is smaller than the sum of its proper divisors (1100499919752).

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

516095229048 is a wasteful number, since it uses less digits than its factorization.

516095229048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61690 (or 61686 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 51.

The spelling of 516095229048 in words is "five hundred sixteen billion, ninety-five million, two hundred twenty-nine thousand, forty-eight".