5199659144064 has 1152 divisors, whose sum is σ = 20217761740800. Its totient is φ = 1263970713600.

The previous prime is 5199659144027. The next prime is 5199659144129. The reversal of 5199659144064 is 4604419569915.

5199659144064 is a `hidden beast` number, since 5 + 19 + 96 + 5 + 91 + 440 + 6 + 4 = 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 junction number, because it is equal to n+sod(n) for n = 5199659143992 and 5199659144010.

It is a congruent number.

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 143 ways as a sum of consecutive naturals, for example, 2016151927 + ... + 2016154505.

It is an arithmetic number, because the mean of its divisors is an integer number (17550140400).

Almost surely, 2^{5199659144064} 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 5199659144064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10108880870400).

5199659144064 is an abundant number, since it is smaller than the sum of its proper divisors (15018102596736).

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

5199659144064 is a wasteful number, since it uses less digits than its factorization.

5199659144064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2832 (or 2810 counting only the distinct ones).

The product of its (nonzero) digits is 41990400, while the sum is 63.

The spelling of 5199659144064 in words is "five trillion, one hundred ninety-nine billion, six hundred fifty-nine million, one hundred forty-four thousand, sixty-four".