5106528000 has 864 divisors, whose sum is σ = 22384252800. Its totient is φ = 1091174400.

The previous prime is 5106527903. The next prime is 5106528013. The reversal of 5106528000 is 8256015.

5106528000 is a `hidden beast` number, since 5 + 1 + 0 + 652 + 8 + 0 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 34271926 + ... + 34272074.

It is an arithmetic number, because the mean of its divisors is an integer number (25907700).

Almost surely, 2^5106528000 is an apocalyptic number.

5106528000 is a gapful number since it is divisible by the number (50) 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 5106528000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11192126400).

5106528000 is an abundant number, since it is smaller than the sum of its proper divisors (17277724800).

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

5106528000 is a wasteful number, since it uses less digits than its factorization.

5106528000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 5106528000 is about 71459.9748110787. The cubic root of 5106528000 is about 1722.0347291939.

The spelling of 5106528000 in words is "five billion, one hundred six million, five hundred twenty-eight thousand".