5513404800 has 384 divisors, whose sum is σ = 19336262400. Its totient is φ = 1376870400.

The previous prime is 5513404783. The next prime is 5513404807. The reversal of 5513404800 is 84043155.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5513404807) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30460710 + ... + 30460890.

It is an arithmetic number, because the mean of its divisors is an integer number (50354850).

Almost surely, 2^5513404800 is an apocalyptic number.

5513404800 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 5513404800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9668131200).

5513404800 is an abundant number, since it is smaller than the sum of its proper divisors (13822857600).

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

5513404800 is a wasteful number, since it uses less digits than its factorization.

5513404800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 5513404800 is about 74252.3050147266. The cubic root of 5513404800 is about 1766.6070530891.

Adding to 5513404800 its reverse (84043155), we get a palindrome (5597447955).

The spelling of 5513404800 in words is "five billion, five hundred thirteen million, four hundred four thousand, eight hundred".