541376635712 has 168 divisors, whose sum is σ = 1208368627200. Its totient is φ = 240383503360.

The previous prime is 541376635703. The next prime is 541376635739. The reversal of 541376635712 is 217536673145.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 98090489 + ... + 98096007.

It is an arithmetic number, because the mean of its divisors is an integer number (7192670400).

Almost surely, 2^541376635712 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 541376635712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (604184313600).

541376635712 is an abundant number, since it is smaller than the sum of its proper divisors (666991991488).

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

541376635712 is a wasteful number, since it uses less digits than its factorization.

541376635712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5845 (or 5824 counting only the distinct ones).

The product of its digits is 3175200, while the sum is 50.

The spelling of 541376635712 in words is "five hundred forty-one billion, three hundred seventy-six million, six hundred thirty-five thousand, seven hundred twelve".