5409840960896 has 64 divisors (see below), whose sum is σ = 11007859322880. Its totient is φ = 2647095986688.

The previous prime is 5409840960871. The next prime is 5409840960907. The reversal of 5409840960896 is 6980690489045.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×5409840960896² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 66153185 + ... + 66234911.

It is an arithmetic number, because the mean of its divisors is an integer number (171997801920).

Almost surely, 2^{5409840960896} 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 5409840960896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5503929661440).

5409840960896 is an abundant number, since it is smaller than the sum of its proper divisors (5598018361984).

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

5409840960896 is a wasteful number, since it uses less digits than its factorization.

5409840960896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92791 (or 92779 counting only the distinct ones).

The product of its (nonzero) digits is 134369280, while the sum is 68.

It can be divided in two parts, 5409840 and 960896, that added together give a palindrome (6370736).

The spelling of 5409840960896 in words is "five trillion, four hundred nine billion, eight hundred forty million, nine hundred sixty thousand, eight hundred ninety-six".