541589913600 has 360 divisors, whose sum is σ = 1796218784640. Its totient is φ = 143987834880.

The previous prime is 541589913589. The next prime is 541589913607. The reversal of 541589913600 is 6319985145.

It is not an unprimeable number, because it can be changed into a prime (541589913607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 753254041 + ... + 753254759.

It is an arithmetic number, because the mean of its divisors is an integer number (4989496624).

Almost surely, 2^541589913600 is an apocalyptic number.

541589913600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 541589913600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (898109392320).

541589913600 is an abundant number, since it is smaller than the sum of its proper divisors (1254628871040).

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

541589913600 is an equidigital number, since it uses as much as digits as its factorization.

541589913600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1373 (or 1342 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 51.

The spelling of 541589913600 in words is "five hundred forty-one billion, five hundred eighty-nine million, nine hundred thirteen thousand, six hundred".