541053200000 has 192 divisors, whose sum is σ = 1350126633240. Its totient is φ = 215961600000.

The previous prime is 541053199987. The next prime is 541053200029. The reversal of 541053200000 is 2350145.

It can be written as a sum of positive squares in 12 ways, for example, as 192131435584 + 348921764416 = 438328^2 + 590696^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 237198860 + ... + 237201140.

Almost surely, 2^541053200000 is an apocalyptic number.

541053200000 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 541053200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (675063316620).

541053200000 is an abundant number, since it is smaller than the sum of its proper divisors (809073433240).

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

541053200000 is an frugal number, since it uses more digits than its factorization.

541053200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2913 (or 2881 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

Adding to 541053200000 its reverse (2350145), we get a palindrome (541055550145).

The spelling of 541053200000 in words is "five hundred forty-one billion, fifty-three million, two hundred thousand".