48813756200 has 192 divisors, whose sum is σ = 127238731200. Its totient is φ = 17265254400.

The previous prime is 48813756169. The next prime is 48813756209. The reversal of 48813756200 is 265731884.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (48813756209) 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 47 ways as a sum of consecutive naturals, for example, 12588662 + ... + 12592538.

It is an arithmetic number, because the mean of its divisors is an integer number (662701725).

Almost surely, 2^48813756200 is an apocalyptic number.

48813756200 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 48813756200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63619365600).

48813756200 is an abundant number, since it is smaller than the sum of its proper divisors (78424975000).

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

48813756200 is a wasteful number, since it uses less digits than its factorization.

48813756200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4060 (or 4051 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 44.

The spelling of 48813756200 in words is "forty-eight billion, eight hundred thirteen million, seven hundred fifty-six thousand, two hundred".