5251884480 has 280 divisors, whose sum is σ = 19039344192. Its totient is φ = 1373718528.

The previous prime is 5251884457. The next prime is 5251884509. The reversal of 5251884480 is 844881525.

5251884480 is a `hidden beast` number, since 5 + 25 + 188 + 448 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 39 ways as a sum of consecutive naturals, for example, 1371849 + ... + 1375671.

Almost surely, 2^5251884480 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 5251884480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9519672096).

5251884480 is an abundant number, since it is smaller than the sum of its proper divisors (13787459712).

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

5251884480 is a wasteful number, since it uses less digits than its factorization.

5251884480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3905 (or 3886 counting only the distinct ones).

The product of its (nonzero) digits is 409600, while the sum is 45.

The square root of 5251884480 is about 72469.8867116542. The cubic root of 5251884480 is about 1738.2212500332.

The spelling of 5251884480 in words is "five billion, two hundred fifty-one million, eight hundred eighty-four thousand, four hundred eighty".