5258947680 has 768 divisors, whose sum is σ = 22614681600. Its totient is φ = 1128701952.

The previous prime is 5258947657. The next prime is 5258947721. The reversal of 5258947680 is 867498525.

5258947680 is a `hidden beast` number, since 52 + 589 + 4 + 7 + 6 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 46539304 + ... + 46539416.

It is an arithmetic number, because the mean of its divisors is an integer number (29446200).

Almost surely, 2^5258947680 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 5258947680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11307340800).

5258947680 is an abundant number, since it is smaller than the sum of its proper divisors (17355733920).

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

5258947680 is a wasteful number, since it uses less digits than its factorization.

5258947680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The square root of 5258947680 is about 72518.6023031332. The cubic root of 5258947680 is about 1739.0001389935. Note that the first 3 decimals are identical.

The spelling of 5258947680 in words is "five billion, two hundred fifty-eight million, nine hundred forty-seven thousand, six hundred eighty".