5206456944 has 240 divisors, whose sum is σ = 16433114880. Its totient is φ = 1527828480.

The previous prime is 5206456919. The next prime is 5206456993. The reversal of 5206456944 is 4496546025.

5206456944 is a `hidden beast` number, since 5 + 20 + 64 + 569 + 4 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 5206456944.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4235722 + ... + 4236950.

It is an arithmetic number, because the mean of its divisors is an integer number (68471312).

Almost surely, 2^5206456944 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 5206456944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8216557440).

5206456944 is an abundant number, since it is smaller than the sum of its proper divisors (11226657936).

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

5206456944 is a wasteful number, since it uses less digits than its factorization.

5206456944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1360 (or 1351 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The square root of 5206456944 is about 72155.7824709843. The cubic root of 5206456944 is about 1733.1949983617.

The spelling of 5206456944 in words is "five billion, two hundred six million, four hundred fifty-six thousand, nine hundred forty-four".