48311871189120 has 4608 divisors, whose sum is σ = 228044242944000. Its totient is φ = 9624483348480.

The previous prime is 48311871189091. The next prime is 48311871189121. The reversal of 48311871189120 is 2198117811384.

It is a happy number.

48311871189120 is a `hidden beast` number, since 48 + 311 + 87 + 11 + 89 + 120 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (48311871189121) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 380408434497 + ... + 380408434623.

It is an arithmetic number, because the mean of its divisors is an integer number (49488768000).

Almost surely, 2^{48311871189120} is an apocalyptic number.

48311871189120 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 48311871189120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114022121472000).

48311871189120 is an abundant number, since it is smaller than the sum of its proper divisors (179732371754880).

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

48311871189120 is a wasteful number, since it uses less digits than its factorization.

48311871189120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 54.

The spelling of 48311871189120 in words is "forty-eight trillion, three hundred eleven billion, eight hundred seventy-one million, one hundred eighty-nine thousand, one hundred twenty".