3553782808160 has 144 divisors (see below), whose sum is σ = 9240365297520. Its totient is φ = 1290654443520.

The previous prime is 3553782808073. The next prime is 3553782808249. The reversal of 3553782808160 is 618082873553.

It is a junction number, because it is equal to n+sod(n) for n = 3553782808096 and 3553782808105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 572171 + ... + 2726709.

It is an arithmetic number, because the mean of its divisors is an integer number (64169203455).

Almost surely, 2^{3553782808160} 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 3553782808160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4620182648760).

3553782808160 is an abundant number, since it is smaller than the sum of its proper divisors (5686582489360).

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

3553782808160 is a wasteful number, since it uses less digits than its factorization.

3553782808160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2154641 (or 2154620 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 56.

The spelling of 3553782808160 in words is "three trillion, five hundred fifty-three billion, seven hundred eighty-two million, eight hundred eight thousand, one hundred sixty".