548775601920 has 2592 divisors, whose sum is σ = 2596952135232. Its totient is φ = 105630400512.

The previous prime is 548775601897. The next prime is 548775601921. The reversal of 548775601920 is 29106577845.

548775601920 is a `hidden beast` number, since 5 + 4 + 8 + 7 + 7 + 5 + 601 + 9 + 20 = 666.

It is a super-2 number, since 2×548775601920² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (548775601921) by changing a digit.

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 287 ways as a sum of consecutive naturals, for example, 6611754199 + ... + 6611754281.

It is an arithmetic number, because the mean of its divisors is an integer number (1001910546).

Almost surely, 2^548775601920 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 548775601920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1298476067616).

548775601920 is an abundant number, since it is smaller than the sum of its proper divisors (2048176533312).

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

548775601920 is a wasteful number, since it uses less digits than its factorization.

548775601920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 4233600, while the sum is 54.

The spelling of 548775601920 in words is "five hundred forty-eight billion, seven hundred seventy-five million, six hundred one thousand, nine hundred twenty".