48579212160 has 1280 divisors, whose sum is σ = 198103910400. Its totient is φ = 11287019520.

The previous prime is 48579212119. The next prime is 48579212161. The reversal of 48579212160 is 6121297584.

48579212160 is a `hidden beast` number, since 4 + 8 + 579 + 2 + 12 + 1 + 60 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48579212161) 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 159 ways as a sum of consecutive naturals, for example, 1129749099 + ... + 1129749141.

It is an arithmetic number, because the mean of its divisors is an integer number (154768680).

Almost surely, 2^48579212160 is an apocalyptic number.

48579212160 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 48579212160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99051955200).

48579212160 is an abundant number, since it is smaller than the sum of its proper divisors (149524698240).

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

48579212160 is a wasteful number, since it uses less digits than its factorization.

48579212160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 48579212160 in words is "forty-eight billion, five hundred seventy-nine million, two hundred twelve thousand, one hundred sixty".