5665745090304 has 1152 divisors, whose sum is σ = 19726634188800. Its totient is φ = 1588961525760.

The previous prime is 5665745090297. The next prime is 5665745090351. The reversal of 5665745090304 is 4030905475665.

5665745090304 is a `hidden beast` number, since 5 + 6 + 65 + 74 + 509 + 0 + 3 + 0 + 4 = 666.

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

It is a super-2 number, since 2×5665745090304² (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 polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5212276449 + ... + 5212277535.

It is an arithmetic number, because the mean of its divisors is an integer number (17123814400).

Almost surely, 2^{5665745090304} is an apocalyptic number.

5665745090304 is a gapful number since it is divisible by the number (54) 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 5665745090304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9863317094400).

5665745090304 is an abundant number, since it is smaller than the sum of its proper divisors (14060889098496).

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

5665745090304 is a wasteful number, since it uses less digits than its factorization.

5665745090304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1258 (or 1238 counting only the distinct ones).

The product of its (nonzero) digits is 13608000, while the sum is 54.

The spelling of 5665745090304 in words is "five trillion, six hundred sixty-five billion, seven hundred forty-five million, ninety thousand, three hundred four".