5581578240 has 672 divisors, whose sum is σ = 23308421760. Its totient is φ = 1263403008.

The previous prime is 5581578217. The next prime is 5581578271. The reversal of 5581578240 is 428751855.

5581578240 is a `hidden beast` number, since 5 + 58 + 1 + 578 + 24 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

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, 54190029 + ... + 54190131.

Almost surely, 2^5581578240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5581578240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11654210880).

5581578240 is an abundant number, since it is smaller than the sum of its proper divisors (17726843520).

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

5581578240 is a wasteful number, since it uses less digits than its factorization.

5581578240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 448000, while the sum is 45.

The square root of 5581578240 is about 74709.9607816789. The cubic root of 5581578240 is about 1773.8586316995.

The spelling of 5581578240 in words is "five billion, five hundred eighty-one million, five hundred seventy-eight thousand, two hundred forty".