5198247000576 has 1600 divisors, whose sum is σ = 19393330176000. Its totient is φ = 1352722415616.

The previous prime is 5198247000571. The next prime is 5198247000601. The reversal of 5198247000576 is 6750007428915.

5198247000576 is a `hidden beast` number, since 519 + 8 + 2 + 4 + 70 + 0 + 0 + 57 + 6 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (5198247000571) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 26121844125 + ... + 26121844323.

It is an arithmetic number, because the mean of its divisors is an integer number (12120831360).

Almost surely, 2^{5198247000576} is an apocalyptic number.

5198247000576 is a gapful number since it is divisible by the number (56) 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 5198247000576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9696665088000).

5198247000576 is an abundant number, since it is smaller than the sum of its proper divisors (14195083175424).

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

5198247000576 is a wasteful number, since it uses less digits than its factorization.

5198247000576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 4233600, while the sum is 54.

The spelling of 5198247000576 in words is "five trillion, one hundred ninety-eight billion, two hundred forty-seven million, five hundred seventy-six", and thus it is an aban number.