48759830280 has 256 divisors, whose sum is σ = 188798630400. Its totient is φ = 10962293760.

The previous prime is 48759830257. The next prime is 48759830293. The reversal of 48759830280 is 8203895784.

It is a happy number.

48759830280 is a `hidden beast` number, since 48 + 7 + 598 + 3 + 0 + 2 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 408294 + ... + 514026.

It is an arithmetic number, because the mean of its divisors is an integer number (737494650).

Almost surely, 2^48759830280 is an apocalyptic number.

48759830280 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 48759830280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94399315200).

48759830280 is an abundant number, since it is smaller than the sum of its proper divisors (140038800120).

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

48759830280 is a wasteful number, since it uses less digits than its factorization.

48759830280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105821 (or 105811 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 48759830280 in words is "forty-eight billion, seven hundred fifty-nine million, eight hundred thirty thousand, two hundred eighty".