5278506624 has 384 divisors, whose sum is σ = 16761064320. Its totient is φ = 1589575680.

The previous prime is 5278506593. The next prime is 5278506671. The reversal of 5278506624 is 4266058725.

5278506624 is a `hidden beast` number, since 52 + 78 + 506 + 6 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×5278506624² = 55725264359223754752, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 5278506624.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 46712392 + ... + 46712504.

It is an arithmetic number, because the mean of its divisors is an integer number (43648605).

Almost surely, 2^5278506624 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 5278506624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8380532160).

5278506624 is an abundant number, since it is smaller than the sum of its proper divisors (11482557696).

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

5278506624 is a wasteful number, since it uses less digits than its factorization.

5278506624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The square root of 5278506624 is about 72653.3318162354. The cubic root of 5278506624 is about 1741.1533534478.

The spelling of 5278506624 in words is "five billion, two hundred seventy-eight million, five hundred six thousand, six hundred twenty-four".