48259300320 has 864 divisors, whose sum is σ = 211471749216. Its totient is φ = 9909043200.

The previous prime is 48259300261. The next prime is 48259300343. The reversal of 48259300320 is 2300395284.

48259300320 is a `hidden beast` number, since 4 + 8 + 25 + 9 + 300 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 75287200 + ... + 75287840.

It is an arithmetic number, because the mean of its divisors is an integer number (244758969).

Almost surely, 2^48259300320 is an apocalyptic number.

48259300320 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 48259300320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105735874608).

48259300320 is an abundant number, since it is smaller than the sum of its proper divisors (163212448896).

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

48259300320 is a wasteful number, since it uses less digits than its factorization.

48259300320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 784 (or 766 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 48259300320 in words is "forty-eight billion, two hundred fifty-nine million, three hundred thousand, three hundred twenty".