5309645908896 has 432 divisors, whose sum is σ = 19100443287744. Its totient is φ = 1365720846336.

The previous prime is 5309645908859. The next prime is 5309645908937. The reversal of 5309645908896 is 6988095469035.

5309645908896 is a `hidden beast` number, since 5 + 3 + 0 + 9 + 6 + 459 + 0 + 88 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 17983455 + ... + 18276321.

It is an arithmetic number, because the mean of its divisors is an integer number (44213989092).

Almost surely, 2^{5309645908896} is an apocalyptic number.

5309645908896 is a gapful number since it is divisible by the number (56) 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 5309645908896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9550221643872).

5309645908896 is an abundant number, since it is smaller than the sum of its proper divisors (13790797378848).

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

5309645908896 is a wasteful number, since it uses less digits than its factorization.

5309645908896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292953 (or 292919 counting only the distinct ones).

The product of its (nonzero) digits is 503884800, while the sum is 72.

The spelling of 5309645908896 in words is "five trillion, three hundred nine billion, six hundred forty-five million, nine hundred eight thousand, eight hundred ninety-six".