48273563520 has 1024 divisors, whose sum is σ = 213583104000. Its totient is φ = 10158317568.

The previous prime is 48273563497. The next prime is 48273563567. The reversal of 48273563520 is 2536537284.

48273563520 is a `hidden beast` number, since 4 + 8 + 2 + 7 + 3 + 5 + 635 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 127370691 + ... + 127371069.

It is an arithmetic number, because the mean of its divisors is an integer number (208577250).

Almost surely, 2^48273563520 is an apocalyptic number.

48273563520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48273563520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106791552000).

48273563520 is an abundant number, since it is smaller than the sum of its proper divisors (165309540480).

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

48273563520 is an equidigital number, since it uses as much as digits as its factorization.

48273563520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 48273563520 in words is "forty-eight billion, two hundred seventy-three million, five hundred sixty-three thousand, five hundred twenty".