5508874800 has 1200 divisors, whose sum is σ = 24614362080. Its totient is φ = 1161216000.

The previous prime is 5508874757. The next prime is 5508874853. The reversal of 5508874800 is 84788055.

It is a tau number, because it is divible by the number of its divisors (1200).

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 239 ways as a sum of consecutive naturals, for example, 134362780 + ... + 134362820.

Almost surely, 2^5508874800 is an apocalyptic number.

5508874800 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 5508874800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12307181040).

5508874800 is an abundant number, since it is smaller than the sum of its proper divisors (19105487280).

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

5508874800 is a wasteful number, since it uses less digits than its factorization.

5508874800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 358400, while the sum is 45.

The square root of 5508874800 is about 74221.7946428136. The cubic root of 5508874800 is about 1766.1230858001.

The spelling of 5508874800 in words is "five billion, five hundred eight million, eight hundred seventy-four thousand, eight hundred".