5485844000 has 288 divisors, whose sum is σ = 16893270576. Its totient is φ = 1735372800.

The previous prime is 5485843999. The next prime is 5485844017. The reversal of 5485844000 is 4485845.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 391881616 + 5093962384 = 19796^2 + 71372^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2546924 + ... + 2549076.

Almost surely, 2^5485844000 is an apocalyptic number.

5485844000 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 5485844000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8446635288).

5485844000 is an abundant number, since it is smaller than the sum of its proper divisors (11407426576).

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

5485844000 is a wasteful number, since it uses less digits than its factorization.

5485844000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2205 (or 2180 counting only the distinct ones).

The product of its (nonzero) digits is 102400, while the sum is 38.

The square root of 5485844000 is about 74066.4836481387. The cubic root of 5485844000 is about 1763.6584540723.

The spelling of 5485844000 in words is "five billion, four hundred eighty-five million, eight hundred forty-four thousand".