6541605696600 has 1152 divisors, whose sum is σ = 24894273331200. Its totient is φ = 1528450560000.

The previous prime is 6541605696599. The next prime is 6541605696697. The reversal of 6541605696600 is 66965061456.

6541605696600 is a `hidden beast` number, since 6 + 5 + 4 + 16 + 0 + 569 + 6 + 60 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 12091692330 + ... + 12091692870.

Almost surely, 2^{6541605696600} is an apocalyptic number.

6541605696600 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 6541605696600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12447136665600).

6541605696600 is an abundant number, since it is smaller than the sum of its proper divisors (18352667634600).

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

6541605696600 is a wasteful number, since it uses less digits than its factorization.

6541605696600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 897 (or 885 counting only the distinct ones).

The product of its (nonzero) digits is 6998400, while the sum is 54.

The spelling of 6541605696600 in words is "six trillion, five hundred forty-one billion, six hundred five million, six hundred ninety-six thousand, six hundred".