548512663680 has 448 divisors, whose sum is σ = 1998366482520. Its totient is φ = 143864709120.

The previous prime is 548512663679. The next prime is 548512663723. The reversal of 548512663680 is 86366215845.

548512663680 is a `hidden beast` number, since 5 + 4 + 8 + 512 + 6 + 63 + 68 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 327394529856 + 221118133824 = 572184^2 + 470232^2 .

It is a super-2 number, since 2×548512663680² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 28450524 + ... + 28469796.

Almost surely, 2^548512663680 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 548512663680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (999183241260).

548512663680 is an abundant number, since it is smaller than the sum of its proper divisors (1449853818840).

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

548512663680 is an equidigital number, since it uses as much as digits as its factorization.

548512663680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19371 (or 19344 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 548512663680 in words is "five hundred forty-eight billion, five hundred twelve million, six hundred sixty-three thousand, six hundred eighty".