5509409996160 has 2304 divisors, whose sum is σ = 24133794048000. Its totient is φ = 1174936928256.

The previous prime is 5509409996149. The next prime is 5509409996171. The reversal of 5509409996160 is 616999049055.

5509409996160 is a `hidden beast` number, since 5 + 5 + 0 + 9 + 4 + 0 + 9 + 9 + 9 + 616 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5509409996149) and next prime (5509409996171).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 69739367001 + ... + 69739367079.

It is an arithmetic number, because the mean of its divisors is an integer number (10474737000).

Almost surely, 2^{5509409996160} 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 5509409996160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12066897024000).

5509409996160 is an abundant number, since it is smaller than the sum of its proper divisors (18624384051840).

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

5509409996160 is an equidigital number, since it uses as much as digits as its factorization.

5509409996160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 23619600, while the sum is 63.

The spelling of 5509409996160 in words is "five trillion, five hundred nine billion, four hundred nine million, nine hundred ninety-six thousand, one hundred sixty".