545480194855680 has 1440 divisors, whose sum is σ = 2289501267153408. Its totient is φ = 121404137472000.

The previous prime is 545480194855679. The next prime is 545480194855709. The reversal of 545480194855680 is 86558491084545.

545480194855680 is a `hidden beast` number, since 5 + 4 + 5 + 4 + 8 + 0 + 19 + 48 + 5 + 568 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is a junction number, because it is equal to n+sod(n) for n = 545480194855599 and 545480194855608.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 15562454155 + ... + 15562489205.

Almost surely, 2^{545480194855680} 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 545480194855680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1144750633576704).

545480194855680 is an abundant number, since it is smaller than the sum of its proper divisors (1744021072297728).

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

545480194855680 is a wasteful number, since it uses less digits than its factorization.

545480194855680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35655 (or 35632 counting only the distinct ones).

The product of its (nonzero) digits is 1105920000, while the sum is 72.

The spelling of 545480194855680 in words is "five hundred forty-five trillion, four hundred eighty billion, one hundred ninety-four million, eight hundred fifty-five thousand, six hundred eighty".