5485132800 has 792 divisors, whose sum is σ = 23758300800. Its totient is φ = 1181122560.

The previous prime is 5485132769. The next prime is 5485132801. The reversal of 5485132800 is 82315845.

It is a happy number.

5485132800 is a `hidden beast` number, since 548 + 5 + 1 + 32 + 80 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5485132801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 30643111 + ... + 30643289.

Almost surely, 2^5485132800 is an apocalyptic number.

5485132800 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 5485132800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11879150400).

5485132800 is an abundant number, since it is smaller than the sum of its proper divisors (18273168000).

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

5485132800 is a wasteful number, since it uses less digits than its factorization.

5485132800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 5485132800 is about 74061.6824005504. The cubic root of 5485132800 is about 1763.5822355907.

The spelling of 5485132800 in words is "five billion, four hundred eighty-five million, one hundred thirty-two thousand, eight hundred".