48717280800 has 432 divisors, whose sum is σ = 182471758560. Its totient is φ = 12188344320.

The previous prime is 48717280793. The next prime is 48717280813. The reversal of 48717280800 is 808271784.

48717280800 is a `hidden beast` number, since 487 + 17 + 2 + 80 + 80 + 0 = 666.

48717280800 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 (45).

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, 75765279 + ... + 75765921.

It is an arithmetic number, because the mean of its divisors is an integer number (422388330).

Almost surely, 2^48717280800 is an apocalyptic number.

48717280800 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 48717280800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91235879280).

48717280800 is an abundant number, since it is smaller than the sum of its proper divisors (133754477760).

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

48717280800 is a wasteful number, since it uses less digits than its factorization.

48717280800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1305 (or 1289 counting only the distinct ones).

The product of its (nonzero) digits is 200704, while the sum is 45.

The spelling of 48717280800 in words is "forty-eight billion, seven hundred seventeen million, two hundred eighty thousand, eight hundred".