541222760067000 has 128 divisors (see below), whose sum is σ = 1842125467104000. Its totient is φ = 131205517584000.

The previous prime is 541222760066987. The next prime is 541222760067061. The reversal of 541222760067000 is 760067222145.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8200311850 + ... + 8200377849.

It is an arithmetic number, because the mean of its divisors is an integer number (14391605211750).

Almost surely, 2^{541222760067000} is an apocalyptic number.

541222760067000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

541222760067000 is an abundant number, since it is smaller than the sum of its proper divisors (1300902707037000).

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

541222760067000 is a wasteful number, since it uses less digits than its factorization.

541222760067000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16400689734 (or 16400689720 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 42.

The spelling of 541222760067000 in words is "five hundred forty-one trillion, two hundred twenty-two billion, seven hundred sixty million, sixty-seven thousand".