5308356003840 has 384 divisors, whose sum is σ = 19979537760000. Its totient is φ = 1332292091904.

The previous prime is 5308356003833. The next prime is 5308356003883. The reversal of 5308356003840 is 483006538035.

5308356003840 is a `hidden beast` number, since 5 + 3 + 0 + 8 + 3 + 5 + 600 + 38 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

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 31 ways as a sum of consecutive naturals, for example, 4135461 + ... + 5264859.

It is an arithmetic number, because the mean of its divisors is an integer number (52030046250).

Almost surely, 2^{5308356003840} 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 5308356003840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9989768880000).

5308356003840 is an abundant number, since it is smaller than the sum of its proper divisors (14671181756160).

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

5308356003840 is a wasteful number, since it uses less digits than its factorization.

5308356003840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1129452 (or 1129426 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 5308356003840 in words is "five trillion, three hundred eight billion, three hundred fifty-six million, three thousand, eight hundred forty".