541809036288 has 616 divisors, whose sum is σ = 1806220658816. Its totient is φ = 161243136000.

The previous prime is 541809036269. The next prime is 541809036299. The reversal of 541809036288 is 882630908145.

541809036288 is a `hidden beast` number, since 5 + 4 + 1 + 8 + 0 + 9 + 0 + 3 + 628 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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 55 ways as a sum of consecutive naturals, for example, 300836988 + ... + 300838788.

Almost surely, 2^541809036288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 541809036288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (903110329408).

541809036288 is an abundant number, since it is smaller than the sum of its proper divisors (1264411622528).

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

541809036288 is a wasteful number, since it uses less digits than its factorization.

541809036288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1883 (or 1850 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 541809036288 in words is "five hundred forty-one billion, eight hundred nine million, thirty-six thousand, two hundred eighty-eight".