5140890000 has 225 divisors, whose sum is σ = 18053973223. Its totient is φ = 1365168000.

The previous prime is 5140889993. The next prime is 5140890037. The reversal of 5140890000 is 980415.

The square root of 5140890000 is 71700.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 403045776 + 4737844224 = 20076^2 + 68832^2 .

It is a tau number, because it is divible by the number of its divisors (225).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 21509881 + ... + 21510119.

Almost surely, 2^5140890000 is an apocalyptic number.

5140890000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5140890000 is the 71700-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5140890000

5140890000 is an abundant number, since it is smaller than the sum of its proper divisors (12913083223).

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

5140890000 is an equidigital number, since it uses as much as digits as its factorization.

5140890000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 512 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The cubic root of 5140890000 is about 1725.8886410630. Note that the first 3 decimals are identical.

The spelling of 5140890000 in words is "five billion, one hundred forty million, eight hundred ninety thousand".