541300290564 has 96 divisors (see below), whose sum is σ = 1401558681600. Its totient is φ = 161209951360.

The previous prime is 541300290539. The next prime is 541300290611. The reversal of 541300290564 is 465092003145.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48817429 + ... + 48828515.

It is an arithmetic number, because the mean of its divisors is an integer number (14599569600).

Almost surely, 2^541300290564 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 541300290564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (700779340800).

541300290564 is an abundant number, since it is smaller than the sum of its proper divisors (860258391036).

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

541300290564 is a wasteful number, since it uses less digits than its factorization.

541300290564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17433 (or 17431 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 39.

The spelling of 541300290564 in words is "five hundred forty-one billion, three hundred million, two hundred ninety thousand, five hundred sixty-four".