488321307295680 has 224 divisors, whose sum is σ = 1559449430719488. Its totient is φ = 129460715622400.

The previous prime is 488321307295667. The next prime is 488321307295681. The reversal of 488321307295680 is 86592703123884.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (488321307295681) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5063897065 + ... + 5063993495.

It is an arithmetic number, because the mean of its divisors is an integer number (6961827815712).

It is a 1-persistent number, because it is pandigital, but 2⋅488321307295680 = 976642614591360 is not.

Almost surely, 2^{488321307295680} is an apocalyptic number.

488321307295680 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 488321307295680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (779724715359744).

488321307295680 is an abundant number, since it is smaller than the sum of its proper divisors (1071128123423808).

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

488321307295680 is a wasteful number, since it uses less digits than its factorization.

488321307295680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127115 (or 127105 counting only the distinct ones).

The product of its (nonzero) digits is 139345920, while the sum is 66.

The spelling of 488321307295680 in words is "four hundred eighty-eight trillion, three hundred twenty-one billion, three hundred seven million, two hundred ninety-five thousand, six hundred eighty".