5578574000 has 80 divisors (see below), whose sum is σ = 13924275456. Its totient is φ = 2159424000.

The previous prime is 5578573963. The next prime is 5578574041. The reversal of 5578574000 is 4758755.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×5578574000² = 62240975746952000000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17012 + ... + 106988.

Almost surely, 2^5578574000 is an apocalyptic number.

5578574000 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 5578574000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6962137728).

5578574000 is an abundant number, since it is smaller than the sum of its proper divisors (8345701456).

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

5578574000 is a wasteful number, since it uses less digits than its factorization.

5578574000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90031 (or 90015 counting only the distinct ones).

The product of its (nonzero) digits is 196000, while the sum is 41.

The square root of 5578574000 is about 74689.8520550148. The cubic root of 5578574000 is about 1773.5403194929.

The spelling of 5578574000 in words is "five billion, five hundred seventy-eight million, five hundred seventy-four thousand".