48975736320 has 1120 divisors, whose sum is σ = 211247764992. Its totient is φ = 10642046976.

The previous prime is 48975736279. The next prime is 48975736351. The reversal of 48975736320 is 2363757984.

48975736320 is a `hidden beast` number, since 4 + 8 + 9 + 7 + 573 + 63 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 300464559 + ... + 300464721.

Almost surely, 2^48975736320 is an apocalyptic number.

48975736320 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 48975736320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105623882496).

48975736320 is an abundant number, since it is smaller than the sum of its proper divisors (162272028672).

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

48975736320 is an equidigital number, since it uses as much as digits as its factorization.

48975736320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 48975736320 in words is "forty-eight billion, nine hundred seventy-five million, seven hundred thirty-six thousand, three hundred twenty".