6541558260 has 144 divisors (see below), whose sum is σ = 19651992192. Its totient is φ = 1625184000.

The previous prime is 6541558253. The next prime is 6541558267. The reversal of 6541558260 is 628551456.

It is an interprime number because it is at equal distance from previous prime (6541558253) and next prime (6541558267).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6541558267) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1318785 + ... + 1323735.

It is an arithmetic number, because the mean of its divisors is an integer number (136472168).

Almost surely, 2^6541558260 is an apocalyptic number.

6541558260 is a gapful number since it is divisible by the number (60) 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 6541558260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9825996096).

6541558260 is an abundant number, since it is smaller than the sum of its proper divisors (13110433932).

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

6541558260 is a wasteful number, since it uses less digits than its factorization.

6541558260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5062 (or 5041 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 42.

The square root of 6541558260 is about 80879.9002224904. The cubic root of 6541558260 is about 1870.2244823785.

The spelling of 6541558260 in words is "six billion, five hundred forty-one million, five hundred fifty-eight thousand, two hundred sixty".