48693371760 has 720 divisors, whose sum is σ = 197587353600. Its totient is φ = 10688578560.

The previous prime is 48693371743. The next prime is 48693371761. The reversal of 48693371760 is 6717339684.

48693371760 is a `hidden beast` number, since 486 + 9 + 33 + 71 + 7 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a junction number, because it is equal to n+sod(n) for n = 48693371697 and 48693371706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48693371761) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 38070801 + ... + 38072079.

It is an arithmetic number, because the mean of its divisors is an integer number (274426880).

Almost surely, 2^48693371760 is an apocalyptic number.

48693371760 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 48693371760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98793676800).

48693371760 is an abundant number, since it is smaller than the sum of its proper divisors (148893981840).

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

48693371760 is a wasteful number, since it uses less digits than its factorization.

48693371760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1362 (or 1342 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 48693371760 in words is "forty-eight billion, six hundred ninety-three million, three hundred seventy-one thousand, seven hundred sixty".