5199805691136 has 1152 divisors, whose sum is σ = 20220176793600. Its totient is φ = 1281823211520.

The previous prime is 5199805691111. The next prime is 5199805691219. The reversal of 5199805691136 is 6311965089915.

5199805691136 is a `hidden beast` number, since 51 + 9 + 9 + 8 + 0 + 569 + 1 + 13 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 484463626 + ... + 484474358.

It is an arithmetic number, because the mean of its divisors is an integer number (17552236800).

Almost surely, 2^{5199805691136} is an apocalyptic number.

5199805691136 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 5199805691136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10110088396800).

5199805691136 is an abundant number, since it is smaller than the sum of its proper divisors (15020371102464).

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

5199805691136 is a wasteful number, since it uses less digits than its factorization.

5199805691136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10832 (or 10812 counting only the distinct ones).

The product of its (nonzero) digits is 15746400, while the sum is 63.

The spelling of 5199805691136 in words is "five trillion, one hundred ninety-nine billion, eight hundred five million, six hundred ninety-one thousand, one hundred thirty-six".