48762011200 has 336 divisors, whose sum is σ = 148308364800. Its totient is φ = 15397355520.

The previous prime is 48762011159. The next prime is 48762011219. The reversal of 48762011200 is 211026784.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8946076 + ... + 8951524.

Almost surely, 2^48762011200 is an apocalyptic number.

48762011200 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 48762011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74154182400).

48762011200 is an abundant number, since it is smaller than the sum of its proper divisors (99546353600).

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

48762011200 is a wasteful number, since it uses less digits than its factorization.

48762011200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5542 (or 5527 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 31.

Adding to 48762011200 its reverse (211026784), we get a palindrome (48973037984).

The spelling of 48762011200 in words is "forty-eight billion, seven hundred sixty-two million, eleven thousand, two hundred".