546052707200 has 1152 divisors, whose sum is σ = 1874894999040. Its totient is φ = 154893312000.

The previous prime is 546052707191. The next prime is 546052707209. The reversal of 546052707200 is 2707250645.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (546052707191) and next prime (546052707209).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (546052707209) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7690883165 + ... + 7690883235.

It is an arithmetic number, because the mean of its divisors is an integer number (1627513020).

Almost surely, 2^546052707200 is an apocalyptic number.

546052707200 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 546052707200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (937447499520).

546052707200 is an abundant number, since it is smaller than the sum of its proper divisors (1328842291840).

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

546052707200 is an equidigital number, since it uses as much as digits as its factorization.

546052707200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 117600, while the sum is 38.

Adding to 546052707200 its reverse (2707250645), we get a palindrome (548759957845).

The spelling of 546052707200 in words is "five hundred forty-six billion, fifty-two million, seven hundred seven thousand, two hundred".