541066046505600 has 4608 divisors, whose sum is σ = 2452624272000000. Its totient is φ = 103320354816000.

The previous prime is 541066046505577. The next prime is 541066046505613. The reversal of 541066046505600 is 6505640660145.

It is a super-3 number, since 3×541066046505600³ (a number of 45 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 541066046505600.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 1084300694151 + ... + 1084300694649.

It is an arithmetic number, because the mean of its divisors is an integer number (532253531250).

Almost surely, 2^{541066046505600} is an apocalyptic number.

541066046505600 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 541066046505600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1226312136000000).

541066046505600 is an abundant number, since it is smaller than the sum of its proper divisors (1911558225494400).

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

541066046505600 is a wasteful number, since it uses less digits than its factorization.

541066046505600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 880 (or 856 counting only the distinct ones).

The product of its (nonzero) digits is 2592000, while the sum is 48.

The spelling of 541066046505600 in words is "five hundred forty-one trillion, sixty-six billion, forty-six million, five hundred five thousand, six hundred".