48000200085 has 48 divisors (see below), whose sum is σ = 85665421296. Its totient is φ = 24845128704.

The previous prime is 48000200057. The next prime is 48000200093. The reversal of 48000200085 is 58000200084.

48000200085 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 14271408369 + 33728791716 = 119463^2 + 183654^2 .

It is not a de Polignac number, because 48000200085 - 2⁸ = 48000199829 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 624697 + ... + 697313.

It is an arithmetic number, because the mean of its divisors is an integer number (1784696277).

Almost surely, 2^48000200085 is an apocalyptic number.

48000200085 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

48000200085 is a deficient number, since it is larger than the sum of its proper divisors (37665221211).

48000200085 is a wasteful number, since it uses less digits than its factorization.

48000200085 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73062 (or 73059 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

Subtracting 48000200085 from its reverse (58000200084), we obtain a palindrome (9999999999).

The spelling of 48000200085 in words is "forty-eight billion, two hundred thousand, eighty-five".