5128578000 has 960 divisors, whose sum is σ = 22982529024. Its totient is φ = 1036800000.

The previous prime is 5128577963. The next prime is 5128578023. The reversal of 5128578000 is 8758215.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 50777950 + ... + 50778050.

Almost surely, 2^5128578000 is an apocalyptic number.

5128578000 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 5128578000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11491264512).

5128578000 is an abundant number, since it is smaller than the sum of its proper divisors (17853951024).

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

5128578000 is a wasteful number, since it uses less digits than its factorization.

5128578000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 36.

The square root of 5128578000 is about 71614.0907922456. The cubic root of 5128578000 is about 1724.5097535644.

The spelling of 5128578000 in words is "five billion, one hundred twenty-eight million, five hundred seventy-eight thousand".