5515036800 has 768 divisors, whose sum is σ = 22948531200. Its totient is φ = 1133199360.

The previous prime is 5515036789. The next prime is 5515036819. The reversal of 5515036800 is 86305155.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 51542347 + ... + 51542453.

It is an arithmetic number, because the mean of its divisors is an integer number (29880900).

Almost surely, 2^5515036800 is an apocalyptic number.

5515036800 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 5515036800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11474265600).

5515036800 is an abundant number, since it is smaller than the sum of its proper divisors (17433494400).

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

5515036800 is a wasteful number, since it uses less digits than its factorization.

5515036800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 33.

The square root of 5515036800 is about 74263.2937594341. The cubic root of 5515036800 is about 1766.7813445593.

The spelling of 5515036800 in words is "five billion, five hundred fifteen million, thirty-six thousand, eight hundred".