5129086777056 has 576 divisors, whose sum is σ = 16683454884096. Its totient is φ = 1537184563200.

The previous prime is 5129086777043. The next prime is 5129086777057. The reversal of 5129086777056 is 6507776809215.

5129086777056 is a `hidden beast` number, since 512 + 9 + 0 + 8 + 67 + 7 + 7 + 0 + 56 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 5129086776984 and 5129086777002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5129086777057) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4448470176 + ... + 4448471328.

It is an arithmetic number, because the mean of its divisors is an integer number (28964331396).

Almost surely, 2^{5129086777056} 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 5129086777056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8341727442048).

5129086777056 is an abundant number, since it is smaller than the sum of its proper divisors (11554368107040).

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

5129086777056 is a wasteful number, since it uses less digits than its factorization.

5129086777056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1717 (or 1697 counting only the distinct ones).

The product of its (nonzero) digits is 44452800, while the sum is 63.

The spelling of 5129086777056 in words is "five trillion, one hundred twenty-nine billion, eighty-six million, seven hundred seventy-seven thousand, fifty-six".