545768340590592 has 2496 divisors, whose sum is σ = 2069948370124800. Its totient is φ = 142893667123200.

The previous prime is 545768340590537. The next prime is 545768340590593. The reversal of 545768340590592 is 295095043867545.

545768340590592 is a `hidden beast` number, since 5 + 4 + 5 + 7 + 6 + 83 + 405 + 90 + 59 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 545768340590592.

It is not an unprimeable number, because it can be changed into a prime (545768340590593) 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 191 ways as a sum of consecutive naturals, for example, 258535451617 + ... + 258535453727.

Almost surely, 2^{545768340590592} 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 545768340590592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1034974185062400).

545768340590592 is an abundant number, since it is smaller than the sum of its proper divisors (1524180029534208).

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

545768340590592 is an equidigital number, since it uses as much as digits as its factorization.

545768340590592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2220 (or 2173 counting only the distinct ones).

The product of its (nonzero) digits is 1632960000, while the sum is 72.

The spelling of 545768340590592 in words is "five hundred forty-five trillion, seven hundred sixty-eight billion, three hundred forty million, five hundred ninety thousand, five hundred ninety-two".