5197825616544 has 960 divisors, whose sum is σ = 17925197875200. Its totient is φ = 1460162764800.

The previous prime is 5197825616521. The next prime is 5197825616587. The reversal of 5197825616544 is 4456165287915.

It is a happy number.

5197825616544 is a `hidden beast` number, since 5 + 1 + 9 + 7 + 8 + 2 + 5 + 616 + 5 + 4 + 4 = 666.

It is a super-2 number, since 2×5197825616544² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 12059920009 + ... + 12059920439.

It is an arithmetic number, because the mean of its divisors is an integer number (18672081120).

Almost surely, 2^{5197825616544} is an apocalyptic number.

5197825616544 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 5197825616544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8962598937600).

5197825616544 is an abundant number, since it is smaller than the sum of its proper divisors (12727372258656).

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

5197825616544 is a wasteful number, since it uses less digits than its factorization.

5197825616544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 799 (or 782 counting only the distinct ones).

The product of its digits is 72576000, while the sum is 63.

The spelling of 5197825616544 in words is "five trillion, one hundred ninety-seven billion, eight hundred twenty-five million, six hundred sixteen thousand, five hundred forty-four".