5006311098516 has 576 divisors, whose sum is σ = 16832859982848. Its totient is φ = 1217032667136.

The previous prime is 5006311098479. The next prime is 5006311098557. The reversal of 5006311098516 is 6158901136005.

5006311098516 is a `hidden beast` number, since 5 + 0 + 0 + 6 + 31 + 10 + 98 + 516 = 666.

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 191 ways as a sum of consecutive naturals, for example, 2145867286 + ... + 2145869618.

It is an arithmetic number, because the mean of its divisors is an integer number (29223715248).

Almost surely, 2^{5006311098516} 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 5006311098516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8416429991424).

5006311098516 is an abundant number, since it is smaller than the sum of its proper divisors (11826548884332).

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

5006311098516 is a wasteful number, since it uses less digits than its factorization.

5006311098516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3160 (or 3155 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 45.

The spelling of 5006311098516 in words is "five trillion, six billion, three hundred eleven million, ninety-eight thousand, five hundred sixteen".