546166598400 has 324 divisors, whose sum is σ = 1998088820728. Its totient is φ = 142256701440.

The previous prime is 546166598387. The next prime is 546166598407. The reversal of 546166598400 is 4895661645.

546166598400 is a `hidden beast` number, since 5 + 4 + 6 + 1 + 6 + 6 + 598 + 40 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (546166598407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2366544 + ... + 2587056.

Almost surely, 2^546166598400 is an apocalyptic number.

546166598400 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 546166598400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (999044410364).

546166598400 is an abundant number, since it is smaller than the sum of its proper divisors (1451922222328).

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

546166598400 is a wasteful number, since it uses less digits than its factorization.

546166598400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220588 (or 220566 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 546166598400 in words is "five hundred forty-six billion, one hundred sixty-six million, five hundred ninety-eight thousand, four hundred".