48211755200 has 336 divisors, whose sum is σ = 151120327680. Its totient is φ = 14737489920.

The previous prime is 48211755191. The next prime is 48211755203. The reversal of 48211755200 is 255711284.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is not an unprimeable number, because it can be changed into a prime (48211755203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3610937 + ... + 3624263.

It is an arithmetic number, because the mean of its divisors is an integer number (449762880).

Almost surely, 2^48211755200 is an apocalyptic number.

48211755200 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 48211755200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75560163840).

48211755200 is an abundant number, since it is smaller than the sum of its proper divisors (102908572480).

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

48211755200 is a wasteful number, since it uses less digits than its factorization.

48211755200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13392 (or 13377 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 35.

The spelling of 48211755200 in words is "forty-eight billion, two hundred eleven million, seven hundred fifty-five thousand, two hundred".