5106808912128 has 288 divisors, whose sum is σ = 17018093094912. Its totient is φ = 1320747417600.

The previous prime is 5106808912109. The next prime is 5106808912169. The reversal of 5106808912128 is 8212198086015.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13593373 + ... + 13964003.

It is an arithmetic number, because the mean of its divisors is an integer number (59090601024).

Almost surely, 2^{5106808912128} 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 5106808912128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8509046547456).

5106808912128 is an abundant number, since it is smaller than the sum of its proper divisors (11911284182784).

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

5106808912128 is a wasteful number, since it uses less digits than its factorization.

5106808912128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370901 (or 370887 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 51.

The spelling of 5106808912128 in words is "five trillion, one hundred six billion, eight hundred eight million, nine hundred twelve thousand, one hundred twenty-eight".