48856273200 has 1440 divisors, whose sum is σ = 219809145600. Its totient is φ = 10241925120.

The previous prime is 48856273129. The next prime is 48856273201. The reversal of 48856273200 is 237265884.

48856273200 is a `hidden beast` number, since 4 + 88 + 562 + 7 + 3 + 2 + 0 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (48856273201) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 432356344 + ... + 432356456.

It is an arithmetic number, because the mean of its divisors is an integer number (152645240).

Almost surely, 2^48856273200 is an apocalyptic number.

48856273200 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 48856273200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109904572800).

48856273200 is an abundant number, since it is smaller than the sum of its proper divisors (170952872400).

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

48856273200 is a wasteful number, since it uses less digits than its factorization.

48856273200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 48856273200 in words is "forty-eight billion, eight hundred fifty-six million, two hundred seventy-three thousand, two hundred".