5537548800 has 900 divisors, whose sum is σ = 24059701710. Its totient is φ = 1254113280.

The previous prime is 5537548787. The next prime is 5537548837. The reversal of 5537548800 is 88457355.

It can be written as a sum of positive squares in 3 ways, for example, as 4561111296 + 976437504 = 67536^2 + 31248^2 .

It is a tau number, because it is divible by the number of its divisors (900).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 50803146 + ... + 50803254.

Almost surely, 2^5537548800 is an apocalyptic number.

5537548800 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 5537548800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12029850855).

5537548800 is an abundant number, since it is smaller than the sum of its proper divisors (18522152910).

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

5537548800 is a wasteful number, since it uses less digits than its factorization.

5537548800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 672000, while the sum is 45.

The square root of 5537548800 is about 74414.7082235763. The cubic root of 5537548800 is about 1769.1820409050.

The spelling of 5537548800 in words is "five billion, five hundred thirty-seven million, five hundred forty-eight thousand, eight hundred".