5085677016 has 192 divisors, whose sum is σ = 17035200000. Its totient is φ = 1389788928.

The previous prime is 5085676987. The next prime is 5085677033. The reversal of 5085677016 is 6107765805.

5085677016 is a `hidden beast` number, since 5 + 0 + 8 + 567 + 70 + 16 = 666.

It is a super-2 number, since 2×5085677016² = 51728221422141328512, which 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 47 ways as a sum of consecutive naturals, for example, 304860 + ... + 321108.

It is an arithmetic number, because the mean of its divisors is an integer number (88725000).

Almost surely, 2^5085677016 is an apocalyptic number.

5085677016 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5085677016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8517600000).

5085677016 is an abundant number, since it is smaller than the sum of its proper divisors (11949522984).

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

5085677016 is a wasteful number, since it uses less digits than its factorization.

5085677016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16300 (or 16284 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 45.

The square root of 5085677016 is about 71313.9328322313. The cubic root of 5085677016 is about 1719.6877267955.

The spelling of 5085677016 in words is "five billion, eighty-five million, six hundred seventy-seven thousand, sixteen".