48686201280 has 448 divisors, whose sum is σ = 180000737280. Its totient is φ = 12364627968.

The previous prime is 48686201269. The next prime is 48686201287. The reversal of 48686201280 is 8210268684.

48686201280 is a `hidden beast` number, since 4 + 8 + 6 + 8 + 620 + 12 + 8 + 0 = 666.

It is a super-3 number, since 3×48686201280³ (a number of 33 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48686201287) 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 63 ways as a sum of consecutive naturals, for example, 66968277 + ... + 66969003.

It is an arithmetic number, because the mean of its divisors is an integer number (401787360).

Almost surely, 2^48686201280 is an apocalyptic number.

48686201280 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 48686201280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90000368640).

48686201280 is an abundant number, since it is smaller than the sum of its proper divisors (131314536000).

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

48686201280 is a wasteful number, since it uses less digits than its factorization.

48686201280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1113 (or 1097 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 48686201280 in words is "forty-eight billion, six hundred eighty-six million, two hundred one thousand, two hundred eighty".