5208326645760 has 1920 divisors, whose sum is σ = 23197728153600. Its totient is φ = 1090720235520.

The previous prime is 5208326645749. The next prime is 5208326645801. The reversal of 5208326645760 is 675466238025.

5208326645760 is a `hidden beast` number, since 5 + 2 + 0 + 8 + 3 + 2 + 6 + 64 + 576 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-3 number, since 3×5208326645760³ (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a junction number, because it is equal to n+sod(n) for n = 5208326645697 and 5208326645706.

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 159 ways as a sum of consecutive naturals, for example, 3419780359 + ... + 3419781881.

It is an arithmetic number, because the mean of its divisors is an integer number (12082150080).

Almost surely, 2^{5208326645760} 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 5208326645760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11598864076800).

5208326645760 is an abundant number, since it is smaller than the sum of its proper divisors (17989401507840).

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

5208326645760 is a wasteful number, since it uses less digits than its factorization.

5208326645760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1619 (or 1590 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 54.

The spelling of 5208326645760 in words is "five trillion, two hundred eight billion, three hundred twenty-six million, six hundred forty-five thousand, seven hundred sixty".