48005207712 has 768 divisors, whose sum is σ = 184284979200. Its totient is φ = 11788001280.

The previous prime is 48005207693. The next prime is 48005207717. The reversal of 48005207712 is 21770250084.

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

It is not an unprimeable number, because it can be changed into a prime (48005207717) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 209629614 + ... + 209629842.

It is an arithmetic number, because the mean of its divisors is an integer number (239954400).

Almost surely, 2^48005207712 is an apocalyptic number.

48005207712 is a gapful number since it is divisible by the number (42) 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 48005207712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92142489600).

48005207712 is an abundant number, since it is smaller than the sum of its proper divisors (136279771488).

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

48005207712 is a wasteful number, since it uses less digits than its factorization.

48005207712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

Adding to 48005207712 its reverse (21770250084), we get a palindrome (69775457796).

The spelling of 48005207712 in words is "forty-eight billion, five million, two hundred seven thousand, seven hundred twelve".