546538845600 has 864 divisors, whose sum is σ = 2223442690560. Its totient is φ = 124934400000.

The previous prime is 546538845583. The next prime is 546538845613. The reversal of 546538845600 is 6548835645.

546538845600 is a `hidden beast` number, since 5 + 4 + 6 + 538 + 8 + 45 + 60 + 0 = 666.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 377704077 + ... + 377705523.

It is an arithmetic number, because the mean of its divisors is an integer number (2573429040).

Almost surely, 2^546538845600 is an apocalyptic number.

546538845600 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 546538845600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1111721345280).

546538845600 is an abundant number, since it is smaller than the sum of its proper divisors (1676903844960).

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

546538845600 is a wasteful number, since it uses less digits than its factorization.

546538845600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1754 (or 1738 counting only the distinct ones).

The product of its (nonzero) digits is 13824000, while the sum is 54.

The spelling of 546538845600 in words is "five hundred forty-six billion, five hundred thirty-eight million, eight hundred forty-five thousand, six hundred".