5513152320000 has 600 divisors, whose sum is σ = 21412390563564. Its totient is φ = 1357074432000.

The previous prime is 5513152319893. The next prime is 5513152320019. The reversal of 5513152320000 is 232513155.

It is a happy number.

5513152320000 is a `hidden beast` number, since 5 + 5 + 131 + 523 + 2 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 10 ways, for example, as 2306073067776 + 3207079252224 = 1518576^2 + 1790832^2 .

It is a tau number, because it is divible by the number of its divisors (600).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 37366374 + ... + 37513626.

Almost surely, 2^{5513152320000} is an apocalyptic number.

5513152320000 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 5513152320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10706195281782).

5513152320000 is an abundant number, since it is smaller than the sum of its proper divisors (15899238243564).

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

5513152320000 is a wasteful number, since it uses less digits than its factorization.

5513152320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147310 (or 147276 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

Adding to 5513152320000 its reverse (232513155), we get a palindrome (5513384833155).

The spelling of 5513152320000 in words is "five trillion, five hundred thirteen billion, one hundred fifty-two million, three hundred twenty thousand".