541865385600 has 768 divisors, whose sum is σ = 2267314882560. Its totient is φ = 110462976000.

The previous prime is 541865385583. The next prime is 541865385617. The reversal of 541865385600 is 6583568145.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (541865385583) and next prime (541865385617).

It is a super-2 number, since 2×541865385600² (a number of 24 digits) contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 39170685 + ... + 39184515.

It is an arithmetic number, because the mean of its divisors is an integer number (2952232920).

Almost surely, 2^541865385600 is an apocalyptic number.

541865385600 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 541865385600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1133657441280).

541865385600 is an abundant number, since it is smaller than the sum of its proper divisors (1725449496960).

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

541865385600 is a wasteful number, since it uses less digits than its factorization.

541865385600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13929 (or 13912 counting only the distinct ones).

The product of its (nonzero) digits is 3456000, while the sum is 51.

The spelling of 541865385600 in words is "five hundred forty-one billion, eight hundred sixty-five million, three hundred eighty-five thousand, six hundred".