5304351742560 has 576 divisors, whose sum is σ = 19750423492800. Its totient is φ = 1288513142784.

The previous prime is 5304351742549. The next prime is 5304351742579. The reversal of 5304351742560 is 652471534035.

5304351742560 is a `hidden beast` number, since 5 + 3 + 0 + 4 + 35 + 17 + 42 + 560 = 666.

It is a super-2 number, since 2×5304351742560² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2220321846 + ... + 2220324234.

It is an arithmetic number, because the mean of its divisors is an integer number (34288929675).

Almost surely, 2^{5304351742560} 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 5304351742560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9875211746400).

5304351742560 is an abundant number, since it is smaller than the sum of its proper divisors (14446071750240).

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

5304351742560 is a wasteful number, since it uses less digits than its factorization.

5304351742560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3935 (or 3924 counting only the distinct ones).

The product of its (nonzero) digits is 1512000, while the sum is 45.

The spelling of 5304351742560 in words is "five trillion, three hundred four billion, three hundred fifty-one million, seven hundred forty-two thousand, five hundred sixty".