5108056128 has 224 divisors, whose sum is σ = 17268261120. Its totient is φ = 1450414080.

The previous prime is 5108056123. The next prime is 5108056153. The reversal of 5108056128 is 8216508015.

5108056128 is a `hidden beast` number, since 5 + 10 + 80 + 561 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5108056092 and 5108056101.

It is not an unprimeable number, because it can be changed into a prime (5108056123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2091388 + ... + 2093828.

Almost surely, 2^5108056128 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 5108056128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8634130560).

5108056128 is an abundant number, since it is smaller than the sum of its proper divisors (12160204992).

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

5108056128 is a wasteful number, since it uses less digits than its factorization.

5108056128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2642 (or 2626 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 36.

The square root of 5108056128 is about 71470.6662064934. Note that the first 3 decimals coincide. The cubic root of 5108056128 is about 1722.2064849700.

The spelling of 5108056128 in words is "five billion, one hundred eight million, fifty-six thousand, one hundred twenty-eight".