5190082560 has 672 divisors, whose sum is σ = 20972861280. Its totient is φ = 1210318848.

The previous prime is 5190082543. The next prime is 5190082561. The reversal of 5190082560 is 652800915.

It is a happy number.

5190082560 is a `hidden beast` number, since 5 + 1 + 90 + 0 + 8 + 2 + 560 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5190082561) 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 47 ways as a sum of consecutive naturals, for example, 273162231 + ... + 273162249.

It is an arithmetic number, because the mean of its divisors is an integer number (31209615).

Almost surely, 2^5190082560 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 5190082560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10486430640).

5190082560 is an abundant number, since it is smaller than the sum of its proper divisors (15782778720).

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

5190082560 is a wasteful number, since it uses less digits than its factorization.

5190082560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 5190082560 is about 72042.2276168637. The cubic root of 5190082560 is about 1731.3761155982.

The spelling of 5190082560 in words is "five billion, one hundred ninety million, eighty-two thousand, five hundred sixty".