5345880348096 has 1120 divisors, whose sum is σ = 18592171868160. Its totient is φ = 1506440871936.

The previous prime is 5345880348041. The next prime is 5345880348101. The reversal of 5345880348096 is 6908430885435.

It is a happy number.

5345880348096 is a `hidden beast` number, since 5 + 3 + 4 + 588 + 0 + 3 + 48 + 0 + 9 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 4891015326 + ... + 4891016418.

Almost surely, 2^{5345880348096} 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 5345880348096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9296085934080).

5345880348096 is an abundant number, since it is smaller than the sum of its proper divisors (13246291520064).

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

5345880348096 is a wasteful number, since it uses less digits than its factorization.

5345880348096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1303 (or 1284 counting only the distinct ones).

The product of its (nonzero) digits is 99532800, while the sum is 63.

The spelling of 5345880348096 in words is "five trillion, three hundred forty-five billion, eight hundred eighty million, three hundred forty-eight thousand, ninety-six".