5198578560 has 576 divisors, whose sum is σ = 21196216080. Its totient is φ = 1170505728.

The previous prime is 5198578499. The next prime is 5198578579. The reversal of 5198578560 is 658758915.

5198578560 is a `hidden beast` number, since 5 + 1 + 9 + 8 + 5 + 78 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 5198578497 and 5198578506.

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 71 ways as a sum of consecutive naturals, for example, 31893039 + ... + 31893201.

Almost surely, 2^5198578560 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 5198578560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10598108040).

5198578560 is an abundant number, since it is smaller than the sum of its proper divisors (15997637520).

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

5198578560 is a wasteful number, since it uses less digits than its factorization.

5198578560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 3024000, while the sum is 54.

The square root of 5198578560 is about 72101.1689225632. The cubic root of 5198578560 is about 1732.3203364350.

The spelling of 5198578560 in words is "five billion, one hundred ninety-eight million, five hundred seventy-eight thousand, five hundred sixty".