541533104553200 has 240 divisors, whose sum is σ = 1315795140625920. Its totient is φ = 214169939343360.

The previous prime is 541533104553197. The next prime is 541533104553239. The reversal of 541533104553200 is 2355401335145.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13878683291 + ... + 13878722309.

It is an arithmetic number, because the mean of its divisors is an integer number (5482479752608).

Almost surely, 2^{541533104553200} is an apocalyptic number.

541533104553200 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 541533104553200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (657897570312960).

541533104553200 is an abundant number, since it is smaller than the sum of its proper divisors (774262036072720).

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

541533104553200 is a wasteful number, since it uses less digits than its factorization.

541533104553200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40184 (or 40173 counting only the distinct ones).

The product of its (nonzero) digits is 540000, while the sum is 41.

Adding to 541533104553200 its reverse (2355401335145), we get a palindrome (543888505888345).

The spelling of 541533104553200 in words is "five hundred forty-one trillion, five hundred thirty-three billion, one hundred four million, five hundred fifty-three thousand, two hundred".