5256552672 has 288 divisors, whose sum is σ = 17831923200. Its totient is φ = 1492121088.

The previous prime is 5256552659. The next prime is 5256552751. The reversal of 5256552672 is 2762556525.

5256552672 is a `hidden beast` number, since 5 + 2 + 56 + 5 + 526 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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, 14642029 + ... + 14642387.

It is an arithmetic number, because the mean of its divisors is an integer number (61916400).

Almost surely, 2^5256552672 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 5256552672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8915961600).

5256552672 is an abundant number, since it is smaller than the sum of its proper divisors (12575370528).

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

5256552672 is a wasteful number, since it uses less digits than its factorization.

5256552672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 660 (or 640 counting only the distinct ones).

The product of its digits is 1260000, while the sum is 45.

The square root of 5256552672 is about 72502.0873630546. The cubic root of 5256552672 is about 1738.7361095137.

The spelling of 5256552672 in words is "five billion, two hundred fifty-six million, five hundred fifty-two thousand, six hundred seventy-two".