541318252320 has 96 divisors (see below), whose sum is σ = 1894613898240. Its totient is φ = 144351532800.

The previous prime is 541318252313. The next prime is 541318252333. The reversal of 541318252320 is 23252813145.

541318252320 is a `hidden beast` number, since 5 + 4 + 1 + 31 + 82 + 523 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62648256 + ... + 62656895.

It is an arithmetic number, because the mean of its divisors is an integer number (19735561440).

Almost surely, 2^541318252320 is an apocalyptic number.

It is an amenable number.

541318252320 is an abundant number, since it is smaller than the sum of its proper divisors (1353295645920).

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

541318252320 is a wasteful number, since it uses less digits than its factorization.

541318252320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125305175 (or 125305161 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 541318252320 in words is "five hundred forty-one billion, three hundred eighteen million, two hundred fifty-two thousand, three hundred twenty".