3553116416160 has 192 divisors, whose sum is σ = 11340932964480. Its totient is φ = 934944215040.

The previous prime is 3553116416131. The next prime is 3553116416231. The reversal of 3553116416160 is 616146113553.

3553116416160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32973570 + ... + 33081150.

It is an arithmetic number, because the mean of its divisors is an integer number (59067359190).

Almost surely, 2^{3553116416160} is an apocalyptic number.

3553116416160 is a gapful number since it is divisible by the number (30) 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 3553116416160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5670466482240).

3553116416160 is an abundant number, since it is smaller than the sum of its proper divisors (7787816548320).

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

3553116416160 is a wasteful number, since it uses less digits than its factorization.

3553116416160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108511 (or 108503 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 42.

The spelling of 3553116416160 in words is "three trillion, five hundred fifty-three billion, one hundred sixteen million, four hundred sixteen thousand, one hundred sixty".