546512117760 has 1344 divisors, whose sum is σ = 2294039404800. Its totient is φ = 117719433216.

The previous prime is 546512117699. The next prime is 546512117779. The reversal of 546512117760 is 67711215645.

546512117760 is a `hidden beast` number, since 5 + 4 + 6 + 512 + 1 + 1 + 77 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 95 ways as a sum of consecutive naturals, for example, 5013872586 + ... + 5013872694.

Almost surely, 2^546512117760 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 546512117760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1147019702400).

546512117760 is an abundant number, since it is smaller than the sum of its proper divisors (1747527287040).

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

546512117760 is a wasteful number, since it uses less digits than its factorization.

546512117760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 45.

The spelling of 546512117760 in words is "five hundred forty-six billion, five hundred twelve million, one hundred seventeen thousand, seven hundred sixty".