5209659840 has 672 divisors, whose sum is σ = 21404275200. Its totient is φ = 1050255360.

The previous prime is 5209659817. The next prime is 5209659859. The reversal of 5209659840 is 489569025.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 5209659840.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 34964086 + ... + 34964234.

It is an arithmetic number, because the mean of its divisors is an integer number (31851600).

Almost surely, 2^5209659840 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 5209659840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10702137600).

5209659840 is an abundant number, since it is smaller than the sum of its proper divisors (16194615360).

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

5209659840 is a wasteful number, since it uses less digits than its factorization.

5209659840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 48.

The square root of 5209659840 is about 72177.9733713825. The cubic root of 5209659840 is about 1733.5503331215.

The spelling of 5209659840 in words is "five billion, two hundred nine million, six hundred fifty-nine thousand, eight hundred forty".