5208918624 has 384 divisors, whose sum is σ = 18919111680. Its totient is φ = 1357627392.

The previous prime is 5208918613. The next prime is 5208918653. The reversal of 5208918624 is 4268198025.

5208918624 is a `hidden beast` number, since 5 + 2 + 0 + 8 + 9 + 18 + 624 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 5208918624.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7626187 + ... + 7626869.

It is an arithmetic number, because the mean of its divisors is an integer number (49268520).

Almost surely, 2^5208918624 is an apocalyptic number.

5208918624 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5208918624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9459555840).

5208918624 is an abundant number, since it is smaller than the sum of its proper divisors (13710193056).

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

5208918624 is a wasteful number, since it uses less digits than its factorization.

5208918624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 819 (or 805 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 5208918624 is about 72172.8385474757. The cubic root of 5208918624 is about 1733.4681143057.

The spelling of 5208918624 in words is "five billion, two hundred eight million, nine hundred eighteen thousand, six hundred twenty-four".