541561338080 has 192 divisors, whose sum is σ = 1560857195520. Its totient is φ = 173427609600.

The previous prime is 541561338037. The next prime is 541561338113. The reversal of 541561338080 is 80833165145.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 1331660 + ... + 1690100.

It is an arithmetic number, because the mean of its divisors is an integer number (8129464560).

Almost surely, 2^541561338080 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 541561338080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (780428597760).

541561338080 is an abundant number, since it is smaller than the sum of its proper divisors (1019295857440).

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

541561338080 is a wasteful number, since it uses less digits than its factorization.

541561338080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358553 (or 358545 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 44.

The spelling of 541561338080 in words is "five hundred forty-one billion, five hundred sixty-one million, three hundred thirty-eight thousand, eighty".