5187984691968 has 720 divisors, whose sum is σ = 16860749801280. Its totient is φ = 1586560794624.

The previous prime is 5187984691963. The next prime is 5187984692039. The reversal of 5187984691968 is 8691964897815.

5187984691968 is a `hidden beast` number, since 5 + 1 + 8 + 7 + 98 + 469 + 1 + 9 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is not an unprimeable number, because it can be changed into a prime (5187984691963) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 11981488680 + ... + 11981489112.

Almost surely, 2^{5187984691968} 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 5187984691968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8430374900640).

5187984691968 is an abundant number, since it is smaller than the sum of its proper divisors (11672765109312).

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

5187984691968 is an equidigital number, since it uses as much as digits as its factorization.

5187984691968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 763 (or 714 counting only the distinct ones).

The product of its digits is 1881169920, while the sum is 81.

The spelling of 5187984691968 in words is "five trillion, one hundred eighty-seven billion, nine hundred eighty-four million, six hundred ninety-one thousand, nine hundred sixty-eight".