5513932800 has 468 divisors, whose sum is σ = 20492440384. Its totient is φ = 1415577600.

The previous prime is 5513932799. The next prime is 5513932811. The reversal of 5513932800 is 82393155.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 28569504 + ... + 28569696.

Almost surely, 2^5513932800 is an apocalyptic number.

5513932800 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 5513932800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10246220192).

5513932800 is an abundant number, since it is smaller than the sum of its proper divisors (14978507584).

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

5513932800 is a wasteful number, since it uses less digits than its factorization.

5513932800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 5513932800 is about 74255.8603747879. The cubic root of 5513932800 is about 1766.6634452692.

The spelling of 5513932800 in words is "five billion, five hundred thirteen million, nine hundred thirty-two thousand, eight hundred".