6541053150060 has 768 divisors, whose sum is σ = 25263415296000. Its totient is φ = 1382339312640.

The previous prime is 6541053150059. The next prime is 6541053150109. The reversal of 6541053150060 is 600513501456.

6541053150060 is a `hidden beast` number, since 6 + 5 + 4 + 10 + 531 + 50 + 0 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 6541053149997 and 6541053150024.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 140285431 + ... + 140332049.

It is an arithmetic number, because the mean of its divisors is an integer number (32895072000).

Almost surely, 2^{6541053150060} is an apocalyptic number.

6541053150060 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 6541053150060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12631707648000).

6541053150060 is an abundant number, since it is smaller than the sum of its proper divisors (18722362145940).

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

6541053150060 is a wasteful number, since it uses less digits than its factorization.

6541053150060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46763 (or 46755 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The spelling of 6541053150060 in words is "six trillion, five hundred forty-one billion, fifty-three million, one hundred fifty thousand, sixty".