5735208568320 has 1920 divisors, whose sum is σ = 25791039267840. Its totient is φ = 1182449664000.

The previous prime is 5735208568289. The next prime is 5735208568337. The reversal of 5735208568320 is 238658025375.

5735208568320 is a `hidden beast` number, since 5 + 7 + 3 + 52 + 0 + 8 + 568 + 3 + 20 = 666.

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

It is a super-2 number, since 2×5735208568320² (a number of 26 digits) contains 22 as substring.

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

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 191 ways as a sum of consecutive naturals, for example, 9542776020 + ... + 9542776620.

It is an arithmetic number, because the mean of its divisors is an integer number (13432832952).

Almost surely, 2^{5735208568320} 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 5735208568320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12895519633920).

5735208568320 is an abundant number, since it is smaller than the sum of its proper divisors (20055830699520).

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

5735208568320 is a wasteful number, since it uses less digits than its factorization.

5735208568320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 825 (or 792 counting only the distinct ones).

The product of its (nonzero) digits is 12096000, while the sum is 54.

The spelling of 5735208568320 in words is "five trillion, seven hundred thirty-five billion, two hundred eight million, five hundred sixty-eight thousand, three hundred twenty".