48766099200 has 1296 divisors, whose sum is σ = 211503962880. Its totient is φ = 9661317120.

The previous prime is 48766099159. The next prime is 48766099201. The reversal of 48766099200 is 299066784.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48766099201) 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 143 ways as a sum of consecutive naturals, for example, 431558344 + ... + 431558456.

Almost surely, 2^48766099200 is an apocalyptic number.

48766099200 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 48766099200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105751981440).

48766099200 is an abundant number, since it is smaller than the sum of its proper divisors (162737863680).

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

48766099200 is a wasteful number, since it uses less digits than its factorization.

48766099200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 51.

The spelling of 48766099200 in words is "forty-eight billion, seven hundred sixty-six million, ninety-nine thousand, two hundred".