541048636800 has 1344 divisors, whose sum is σ = 2426158332000. Its totient is φ = 116333936640.

The previous prime is 541048636771. The next prime is 541048636801. The reversal of 541048636800 is 8636840145.

541048636800 is a `hidden beast` number, since 5 + 4 + 1 + 0 + 4 + 8 + 636 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (541048636801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 277602226 + ... + 277604174.

Almost surely, 2^541048636800 is an apocalyptic number.

541048636800 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 541048636800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1213079166000).

541048636800 is an abundant number, since it is smaller than the sum of its proper divisors (1885109695200).

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

541048636800 is a wasteful number, since it uses less digits than its factorization.

541048636800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2015 (or 1983 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 541048636800 in words is "five hundred forty-one billion, forty-eight million, six hundred thirty-six thousand, eight hundred".