541539909120 has 1920 divisors, whose sum is σ = 2297360102400. Its totient is φ = 107909480448.

The previous prime is 541539909109. The next prime is 541539909167. The reversal of 541539909120 is 21909935145.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 541539909120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6084718036 + ... + 6084718124.

It is an arithmetic number, because the mean of its divisors is an integer number (1196541720).

Almost surely, 2^541539909120 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 541539909120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1148680051200).

541539909120 is an abundant number, since it is smaller than the sum of its proper divisors (1755820193280).

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

541539909120 is a wasteful number, since it uses less digits than its factorization.

541539909120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 437400, while the sum is 48.

The spelling of 541539909120 in words is "five hundred forty-one billion, five hundred thirty-nine million, nine hundred nine thousand, one hundred twenty".