546016701600 has 288 divisors, whose sum is σ = 1975607928000. Its totient is φ = 145541975040.

The previous prime is 546016701583. The next prime is 546016701673. The reversal of 546016701600 is 6107610645.

546016701600 is a `hidden beast` number, since 5 + 46 + 0 + 1 + 6 + 7 + 0 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×546016701600² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 47 ways as a sum of consecutive naturals, for example, 73198671 + ... + 73206129.

It is an arithmetic number, because the mean of its divisors is an integer number (6859749750).

Almost surely, 2^546016701600 is an apocalyptic number.

546016701600 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 546016701600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (987803964000).

546016701600 is an abundant number, since it is smaller than the sum of its proper divisors (1429591226400).

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

546016701600 is a wasteful number, since it uses less digits than its factorization.

546016701600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10877 (or 10858 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 546016701600 in words is "five hundred forty-six billion, sixteen million, seven hundred one thousand, six hundred".