6541186260 has 192 divisors, whose sum is σ = 21215416320. Its totient is φ = 1475036160.

The previous prime is 6541186241. The next prime is 6541186363. The reversal of 6541186260 is 626811456.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12554800 + ... + 12555320.

It is an arithmetic number, because the mean of its divisors is an integer number (110496960).

Almost surely, 2^6541186260 is an apocalyptic number.

6541186260 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 6541186260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10607708160).

6541186260 is an abundant number, since it is smaller than the sum of its proper divisors (14674230060).

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

6541186260 is a wasteful number, since it uses less digits than its factorization.

6541186260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 886 (or 884 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The square root of 6541186260 is about 80877.6004836939. The cubic root of 6541186260 is about 1870.1890302396.

The spelling of 6541186260 in words is "six billion, five hundred forty-one million, one hundred eighty-six thousand, two hundred sixty".