541565262560240 has 80 divisors (see below), whose sum is σ = 1264049323180320. Its totient is φ = 215781809863680.

The previous prime is 541565262560221. The next prime is 541565262560263. The reversal of 541565262560240 is 42065262565145.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×541565262560240² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73350575 + ... + 80395505.

It is an arithmetic number, because the mean of its divisors is an integer number (15800616539754).

Almost surely, 2^{541565262560240} is an apocalyptic number.

It is an amenable number.

541565262560240 is an abundant number, since it is smaller than the sum of its proper divisors (722484060620080).

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

541565262560240 is a wasteful number, since it uses less digits than its factorization.

541565262560240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7048690 (or 7048684 counting only the distinct ones).

The product of its (nonzero) digits is 17280000, while the sum is 53.

The spelling of 541565262560240 in words is "five hundred forty-one trillion, five hundred sixty-five billion, two hundred sixty-two million, five hundred sixty thousand, two hundred forty".