5103405635328 has 2592 divisors, whose sum is σ = 21329093560320. Its totient is φ = 1132621332480.

The previous prime is 5103405635303. The next prime is 5103405635333. The reversal of 5103405635328 is 8235365043015.

5103405635328 is a `hidden beast` number, since 5 + 1 + 0 + 3 + 4 + 0 + 5 + 635 + 3 + 2 + 8 = 666.

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 287 ways as a sum of consecutive naturals, for example, 57341636308 + ... + 57341636396.

It is an arithmetic number, because the mean of its divisors is an integer number (8228816960).

Almost surely, 2^{5103405635328} 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 5103405635328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10664546780160).

5103405635328 is an abundant number, since it is smaller than the sum of its proper divisors (16225687924992).

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

5103405635328 is a wasteful number, since it uses less digits than its factorization.

5103405635328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 45.

The spelling of 5103405635328 in words is "five trillion, one hundred three billion, four hundred five million, six hundred thirty-five thousand, three hundred twenty-eight".