541900800000 has 1296 divisors, whose sum is σ = 2334561672240. Its totient is φ = 123863040000.

The previous prime is 541900799989. The next prime is 541900800011. The reversal of 541900800000 is 8009145.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an interprime number because it is at equal distance from previous prime (541900799989) and next prime (541900800011).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 77414399997 + ... + 77414400003.

It is an arithmetic number, because the mean of its divisors is an integer number (1801359315).

Almost surely, 2^541900800000 is an apocalyptic number.

541900800000 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 541900800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1167280836120).

541900800000 is an abundant number, since it is smaller than the sum of its proper divisors (1792660872240).

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

541900800000 is an frugal number, since it uses more digits than its factorization.

541900800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

Adding to 541900800000 its reverse (8009145), we get a palindrome (541908809145).

The spelling of 541900800000 in words is "five hundred forty-one billion, nine hundred million, eight hundred thousand".