5309619505344 has 896 divisors, whose sum is σ = 20513693491200. Its totient is φ = 1304720732160.

The previous prime is 5309619505339. The next prime is 5309619505367. The reversal of 5309619505344 is 4435059169035.

5309619505344 is a `hidden beast` number, since 5 + 3 + 0 + 96 + 1 + 9 + 505 + 3 + 44 = 666.

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

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 127 ways as a sum of consecutive naturals, for example, 3243505294 + ... + 3243506930.

It is an arithmetic number, because the mean of its divisors is an integer number (22894747200).

Almost surely, 2^{5309619505344} is an apocalyptic number.

5309619505344 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 5309619505344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10256846745600).

5309619505344 is an abundant number, since it is smaller than the sum of its proper divisors (15204073985856).

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

5309619505344 is a wasteful number, since it uses less digits than its factorization.

5309619505344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2978 (or 2962 counting only the distinct ones).

The product of its (nonzero) digits is 8748000, while the sum is 54.

The spelling of 5309619505344 in words is "five trillion, three hundred nine billion, six hundred nineteen million, five hundred five thousand, three hundred forty-four".