48275950320 has 480 divisors, whose sum is σ = 185141275200. Its totient is φ = 11493550080.

The previous prime is 48275950309. The next prime is 48275950337. The reversal of 48275950320 is 2305957284.

48275950320 is a `hidden beast` number, since 4 + 8 + 27 + 595 + 0 + 32 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26983986 + ... + 26985774.

It is an arithmetic number, because the mean of its divisors is an integer number (385710990).

Almost surely, 2^48275950320 is an apocalyptic number.

48275950320 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 48275950320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92570637600).

48275950320 is an abundant number, since it is smaller than the sum of its proper divisors (136865324880).

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

48275950320 is a wasteful number, since it uses less digits than its factorization.

48275950320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1886 (or 1843 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 48275950320 in words is "forty-eight billion, two hundred seventy-five million, nine hundred fifty thousand, three hundred twenty".