545875200000 has 1296 divisors, whose sum is σ = 2203704774180. Its totient is φ = 134369280000.

The previous prime is 545875199993. The next prime is 545875200019. The reversal of 545875200000 is 2578545.

It is a happy number.

545875200000 is a `hidden beast` number, since 54 + 5 + 87 + 520 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 149156619264 + 396718580736 = 386208^2 + 629856^2 .

It is a tau number, because it is divible by the number of its divisors (1296).

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 107 ways as a sum of consecutive naturals, for example, 41990399994 + ... + 41990400006.

Almost surely, 2^545875200000 is an apocalyptic number.

545875200000 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 545875200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1101852387090).

545875200000 is an abundant number, since it is smaller than the sum of its proper divisors (1657829574180).

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

545875200000 is an frugal number, since it uses more digits than its factorization.

545875200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 56000, while the sum is 36.

Adding to 545875200000 its reverse (2578545), we get a palindrome (545877778545).

The spelling of 545875200000 in words is "five hundred forty-five billion, eight hundred seventy-five million, two hundred thousand".