5491584000 has 704 divisors, whose sum is σ = 23298462720. Its totient is φ = 1249689600.

The previous prime is 5491583971. The next prime is 5491584023. The reversal of 5491584000 is 4851945.

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

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 24191887 + ... + 24192113.

Almost surely, 2^5491584000 is an apocalyptic number.

5491584000 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 5491584000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11649231360).

5491584000 is an abundant number, since it is smaller than the sum of its proper divisors (17806878720).

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

5491584000 is a wasteful number, since it uses less digits than its factorization.

5491584000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 5491584000 is about 74105.2224880271. Note that the first 3 decimals coincide. The cubic root of 5491584000 is about 1764.2733622356.

The spelling of 5491584000 in words is "five billion, four hundred ninety-one million, five hundred eighty-four thousand".