5103436296960 has 432 divisors, whose sum is σ = 17733780792000. Its totient is φ = 1355041898496.

The previous prime is 5103436296949. The next prime is 5103436297033. The reversal of 5103436296960 is 696926343015.

5103436296960 is a `hidden beast` number, since 5 + 1 + 0 + 3 + 4 + 3 + 629 + 6 + 9 + 6 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 5103436296897 and 5103436296906.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3512343594 + ... + 3512345046.

It is an arithmetic number, because the mean of its divisors is an integer number (41050418500).

Almost surely, 2^{5103436296960} 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 5103436296960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8866890396000).

5103436296960 is an abundant number, since it is smaller than the sum of its proper divisors (12630344495040).

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

5103436296960 is a wasteful number, since it uses less digits than its factorization.

5103436296960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2588 (or 2571 counting only the distinct ones).

The product of its (nonzero) digits is 6298560, while the sum is 54.

The spelling of 5103436296960 in words is "five trillion, one hundred three billion, four hundred thirty-six million, two hundred ninety-six thousand, nine hundred sixty".