5509439064000 has 336 divisors, whose sum is σ = 19978175923680. Its totient is φ = 1449056563200.

The previous prime is 5509439063971. The next prime is 5509439064011. The reversal of 5509439064000 is 4609349055.

5509439064000 is a `hidden beast` number, since 550 + 9 + 4 + 3 + 90 + 6 + 4 + 0 + 0 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4731891 + ... + 5780109.

Almost surely, 2^{5509439064000} is an apocalyptic number.

5509439064000 is a gapful number since it is divisible by the number (50) 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 5509439064000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9989087961840).

5509439064000 is an abundant number, since it is smaller than the sum of its proper divisors (14468736859680).

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

5509439064000 is a wasteful number, since it uses less digits than its factorization.

5509439064000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1048325 (or 1048302 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The spelling of 5509439064000 in words is "five trillion, five hundred nine billion, four hundred thirty-nine million, sixty-four thousand".