5190197575680 has 1728 divisors, whose sum is σ = 21160350731520. Its totient is φ = 1210828455936.

The previous prime is 5190197575679. The next prime is 5190197575687. The reversal of 5190197575680 is 865757910915.

5190197575680 is a `hidden beast` number, since 5 + 1 + 9 + 0 + 19 + 7 + 57 + 568 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5190197575687) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 47616491466 + ... + 47616491574.

It is an arithmetic number, because the mean of its divisors is an integer number (12245573340).

Almost surely, 2^{5190197575680} 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 5190197575680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10580175365760).

5190197575680 is an abundant number, since it is smaller than the sum of its proper divisors (15970153155840).

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

5190197575680 is an equidigital number, since it uses as much as digits as its factorization.

5190197575680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 23814000, while the sum is 63.

The spelling of 5190197575680 in words is "five trillion, one hundred ninety billion, one hundred ninety-seven million, five hundred seventy-five thousand, six hundred eighty".