5118176098656 has 384 divisors, whose sum is σ = 15400814808960. Its totient is φ = 1652913340416.

The previous prime is 5118176098643. The next prime is 5118176098667. The reversal of 5118176098656 is 6568906718115.

5118176098656 is a `hidden beast` number, since 5 + 1 + 1 + 8 + 17 + 609 + 8 + 6 + 5 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 5118176098593 and 5118176098602.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2562931450 + ... + 2562933446.

It is an arithmetic number, because the mean of its divisors is an integer number (40106288565).

Almost surely, 2^{5118176098656} 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 5118176098656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7700407404480).

5118176098656 is an abundant number, since it is smaller than the sum of its proper divisors (10282638710304).

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

5118176098656 is a wasteful number, since it uses less digits than its factorization.

5118176098656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2743 (or 2729 counting only the distinct ones).

The product of its (nonzero) digits is 21772800, while the sum is 63.

The spelling of 5118176098656 in words is "five trillion, one hundred eighteen billion, one hundred seventy-six million, ninety-eight thousand, six hundred fifty-six".