541667221800 has 384 divisors, whose sum is σ = 1746273945600. Its totient is φ = 138821760000.

The previous prime is 541667221787. The next prime is 541667221883. The reversal of 541667221800 is 8122766145.

It is a happy number.

541667221800 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 288273261 + ... + 288275139.

It is an arithmetic number, because the mean of its divisors is an integer number (4547588400).

Almost surely, 2^541667221800 is an apocalyptic number.

541667221800 is a gapful number since it is divisible by the number (50) 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 541667221800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (873136972800).

541667221800 is an abundant number, since it is smaller than the sum of its proper divisors (1204606723800).

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

541667221800 is a wasteful number, since it uses less digits than its factorization.

541667221800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2137 (or 2128 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

Adding to 541667221800 its reverse (8122766145), we get a palindrome (549789987945).

The spelling of 541667221800 in words is "five hundred forty-one billion, six hundred sixty-seven million, two hundred twenty-one thousand, eight hundred".