48856382910720 has 720 divisors, whose sum is σ = 217953788266368. Its totient is φ = 10151974010880.

The previous prime is 48856382910677. The next prime is 48856382910721. The reversal of 48856382910720 is 2701928365884.

48856382910720 is a `hidden beast` number, since 4 + 88 + 56 + 382 + 9 + 107 + 20 = 666.

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

It is a super-2 number, since 2×48856382910720² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (48856382910721) 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 79 ways as a sum of consecutive naturals, for example, 4923472 + ... + 11043248.

It is a 1-persistent number, because it is pandigital, but 2⋅48856382910720 = 97712765821440 is not.

Almost surely, 2^{48856382910720} is an apocalyptic number.

48856382910720 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 48856382910720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108976894133184).

48856382910720 is an abundant number, since it is smaller than the sum of its proper divisors (169097405355648).

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

48856382910720 is a wasteful number, since it uses less digits than its factorization.

48856382910720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6119828 (or 6119805 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 63.

The spelling of 48856382910720 in words is "forty-eight trillion, eight hundred fifty-six billion, three hundred eighty-two million, nine hundred ten thousand, seven hundred twenty".