5541579540 has 216 divisors, whose sum is σ = 20083524552. Its totient is φ = 1232340480.

The previous prime is 5541579523. The next prime is 5541579559. The reversal of 5541579540 is 459751455.

It is a happy number.

5541579540 is a `hidden beast` number, since 5 + 54 + 1 + 57 + 9 + 540 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3253105296 + 2288474244 = 57036^2 + 47838^2 .

It is a super-2 number, since 2×5541579540² = 61418207596293223200, which contains 22 as substring.

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 71 ways as a sum of consecutive naturals, for example, 317850 + ... + 334830.

Almost surely, 2^5541579540 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 5541579540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10041762276).

5541579540 is an abundant number, since it is smaller than the sum of its proper divisors (14541945012).

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

5541579540 is a wasteful number, since it uses less digits than its factorization.

5541579540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17047 (or 17035 counting only the distinct ones).

The product of its (nonzero) digits is 630000, while the sum is 45.

The square root of 5541579540 is about 74441.7862493909. The cubic root of 5541579540 is about 1769.6111948832.

The spelling of 5541579540 in words is "five billion, five hundred forty-one million, five hundred seventy-nine thousand, five hundred forty".