4882081628160 has 1920 divisors, whose sum is σ = 20383695360000. Its totient is φ = 1096081735680.

The previous prime is 4882081628159. The next prime is 4882081628161. The reversal of 4882081628160 is 618261802884.

4882081628160 is a `hidden beast` number, since 4 + 8 + 8 + 2 + 0 + 8 + 1 + 628 + 1 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4882081628159) and next prime (4882081628161).

It is a tau number, because it is divible by the number of its divisors (1920).

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

It is a junction number, because it is equal to n+sod(n) for n = 4882081628097 and 4882081628106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4882081628161) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 27274198951 + ... + 27274199129.

It is an arithmetic number, because the mean of its divisors is an integer number (10616508000).

Almost surely, 2^{4882081628160} is an apocalyptic number.

4882081628160 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 4882081628160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10191847680000).

4882081628160 is an abundant number, since it is smaller than the sum of its proper divisors (15501613731840).

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

4882081628160 is a wasteful number, since it uses less digits than its factorization.

4882081628160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 2359296, while the sum is 54.

The spelling of 4882081628160 in words is "four trillion, eight hundred eighty-two billion, eighty-one million, six hundred twenty-eight thousand, one hundred sixty".