5169871180800 has 792 divisors, whose sum is σ = 20037994569600. Its totient is φ = 1306009681920.

The previous prime is 5169871180777. The next prime is 5169871180801. The reversal of 5169871180800 is 80811789615.

It is a happy number.

5169871180800 is a `hidden beast` number, since 516 + 9 + 8 + 7 + 118 + 0 + 8 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5169871180801) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 249512841 + ... + 249533559.

Almost surely, 2^{5169871180800} is an apocalyptic number.

5169871180800 is a gapful number since it is divisible by the number (50) 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 5169871180800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10018997284800).

5169871180800 is an abundant number, since it is smaller than the sum of its proper divisors (14868123388800).

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

5169871180800 is a wasteful number, since it uses less digits than its factorization.

5169871180800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20796 (or 20748 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 54.

The spelling of 5169871180800 in words is "five trillion, one hundred sixty-nine billion, eight hundred seventy-one million, one hundred eighty thousand, eight hundred".