5128068000 has 384 divisors, whose sum is σ = 18698045184. Its totient is φ = 1218048000.

The previous prime is 5128067981. The next prime is 5128068059. The reversal of 5128068000 is 8608215.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6995634 + ... + 6996366.

It is an arithmetic number, because the mean of its divisors is an integer number (48692826).

Almost surely, 2^5128068000 is an apocalyptic number.

5128068000 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 5128068000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9349022592).

5128068000 is an abundant number, since it is smaller than the sum of its proper divisors (13569977184).

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

5128068000 is a wasteful number, since it uses less digits than its factorization.

5128068000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 825 (or 807 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The square root of 5128068000 is about 71610.5299519561. The cubic root of 5128068000 is about 1724.4525883275.

The spelling of 5128068000 in words is "five billion, one hundred twenty-eight million, sixty-eight thousand".