5541138000 has 240 divisors, whose sum is σ = 19623114576. Its totient is φ = 1457049600.

The previous prime is 5541137977. The next prime is 5541138047. The reversal of 5541138000 is 8311455.

It can be written as a sum of positive squares in 8 ways, for example, as 648415296 + 4892722704 = 25464^2 + 69948^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 1311892 + ... + 1316108.

Almost surely, 2^5541138000 is an apocalyptic number.

5541138000 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 5541138000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9811557288).

5541138000 is an abundant number, since it is smaller than the sum of its proper divisors (14081976576).

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

5541138000 is a wasteful number, since it uses less digits than its factorization.

5541138000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4319 (or 4300 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 5541138000 is about 74438.8205172543. The cubic root of 5541138000 is about 1769.5641941515.

Adding to 5541138000 its reverse (8311455), we get a palindrome (5549449455).

The spelling of 5541138000 in words is "five billion, five hundred forty-one million, one hundred thirty-eight thousand".