5368856156160 has 768 divisors, whose sum is σ = 20747489817600. Its totient is φ = 1157829230592.

The previous prime is 5368856156137. The next prime is 5368856156197. The reversal of 5368856156160 is 616516588635.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 5368856156094 and 5368856156103.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1050037764 + ... + 1050042876.

It is an arithmetic number, because the mean of its divisors is an integer number (27014960700).

Almost surely, 2^{5368856156160} 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 5368856156160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10373744908800).

5368856156160 is an abundant number, since it is smaller than the sum of its proper divisors (15378633661440).

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

5368856156160 is a wasteful number, since it uses less digits than its factorization.

5368856156160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5426 (or 5406 counting only the distinct ones).

The product of its (nonzero) digits is 31104000, while the sum is 60.

The spelling of 5368856156160 in words is "five trillion, three hundred sixty-eight billion, eight hundred fifty-six million, one hundred fifty-six thousand, one hundred sixty".