48858163200 has 2016 divisors, whose sum is σ = 239761529280. Its totient is φ = 9555148800.

The previous prime is 48858163177. The next prime is 48858163229. The reversal of 48858163200 is 236185884.

48858163200 is a `hidden beast` number, since 4 + 8 + 8 + 5 + 8 + 1 + 632 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a super-2 number, since 2×48858163200² (a number of 22 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 2874009592 + ... + 2874009608.

It is an arithmetic number, because the mean of its divisors is an integer number (118929330).

Almost surely, 2^48858163200 is an apocalyptic number.

48858163200 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 48858163200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119880764640).

48858163200 is an abundant number, since it is smaller than the sum of its proper divisors (190903366080).

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

48858163200 is a wasteful number, since it uses less digits than its factorization.

48858163200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 48858163200 in words is "forty-eight billion, eight hundred fifty-eight million, one hundred sixty-three thousand, two hundred".