48863731627200 has 1008 divisors, whose sum is σ = 196947514135680. Its totient is φ = 10546256609280.

The previous prime is 48863731627159. The next prime is 48863731627237. The reversal of 48863731627200 is 272613736884.

48863731627200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1371903792 + ... + 1371939408.

Almost surely, 2^{48863731627200} is an apocalyptic number.

48863731627200 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 48863731627200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98473757067840).

48863731627200 is an abundant number, since it is smaller than the sum of its proper divisors (148083782508480).

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

48863731627200 is a wasteful number, since it uses less digits than its factorization.

48863731627200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35982 (or 35960 counting only the distinct ones).

The product of its (nonzero) digits is 16257024, while the sum is 57.

The spelling of 48863731627200 in words is "forty-eight trillion, eight hundred sixty-three billion, seven hundred thirty-one million, six hundred twenty-seven thousand, two hundred".