488875806720 has 624 divisors, whose sum is σ = 2021882166720. Its totient is φ = 111736848384.

The previous prime is 488875806691. The next prime is 488875806733. The reversal of 488875806720 is 27608578884.

488875806720 is a `hidden beast` number, since 48 + 8 + 8 + 7 + 580 + 6 + 7 + 2 + 0 = 666.

It is a super-2 number, since 2×488875806720² (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27086019 + ... + 27104061.

It is an arithmetic number, because the mean of its divisors is an integer number (3240195780).

Almost surely, 2^488875806720 is an apocalyptic number.

488875806720 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 488875806720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1010941083360).

488875806720 is an abundant number, since it is smaller than the sum of its proper divisors (1533006360000).

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

488875806720 is a wasteful number, since it uses less digits than its factorization.

488875806720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18095 (or 18060 counting only the distinct ones).

The product of its (nonzero) digits is 48168960, while the sum is 63.

The spelling of 488875806720 in words is "four hundred eighty-eight billion, eight hundred seventy-five million, eight hundred six thousand, seven hundred twenty".