541085837760 has 168 divisors, whose sum is σ = 2004272262720. Its totient is φ = 133190350848.

The previous prime is 541085837759. The next prime is 541085837767. The reversal of 541085837760 is 67738580145.

It is a happy number.

541085837760 is a `hidden beast` number, since 5 + 410 + 85 + 83 + 7 + 76 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 541085837697 and 541085837706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (541085837767) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 7188600 + ... + 7263479.

It is an arithmetic number, because the mean of its divisors is an integer number (11930192040).

Almost surely, 2^541085837760 is an apocalyptic number.

It is an amenable number.

541085837760 is an abundant number, since it is smaller than the sum of its proper divisors (1463186424960).

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

541085837760 is a wasteful number, since it uses less digits than its factorization.

541085837760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14452115 (or 14452102 counting only the distinct ones).

The product of its (nonzero) digits is 5644800, while the sum is 54.

The spelling of 541085837760 in words is "five hundred forty-one billion, eighty-five million, eight hundred thirty-seven thousand, seven hundred sixty".