48775747200 has 576 divisors, whose sum is σ = 176334874560. Its totient is φ = 11808768000.

The previous prime is 48775747199. The next prime is 48775747213. The reversal of 48775747200 is 274757784.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 156835045 + ... + 156835355.

It is an arithmetic number, because the mean of its divisors is an integer number (306136935).

Almost surely, 2^48775747200 is an apocalyptic number.

48775747200 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 48775747200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88167437280).

48775747200 is an abundant number, since it is smaller than the sum of its proper divisors (127559127360).

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

48775747200 is a wasteful number, since it uses less digits than its factorization.

48775747200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 3073280, while the sum is 51.

The spelling of 48775747200 in words is "forty-eight billion, seven hundred seventy-five million, seven hundred forty-seven thousand, two hundred".