546525847766080 has 448 divisors, whose sum is σ = 1639061356262400. Its totient is φ = 172476273328128.

The previous prime is 546525847766023. The next prime is 546525847766113. The reversal of 546525847766080 is 80667748525645.

It is a tau number, because it is divible by the number of its divisors (448).

It is a junction number, because it is equal to n+sod(n) for n = 546525847765994 and 546525847766012.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 503146117 + ... + 504231163.

It is an arithmetic number, because the mean of its divisors is an integer number (3658619098800).

Almost surely, 2^{546525847766080} 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 546525847766080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (819530678131200).

546525847766080 is an abundant number, since it is smaller than the sum of its proper divisors (1092535508496320).

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

546525847766080 is a wasteful number, since it uses less digits than its factorization.

546525847766080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1085451 (or 1085427 counting only the distinct ones).

The product of its (nonzero) digits is 2709504000, while the sum is 73.

The spelling of 546525847766080 in words is "five hundred forty-six trillion, five hundred twenty-five billion, eight hundred forty-seven million, seven hundred sixty-six thousand, eighty".