488097890560 has 288 divisors, whose sum is σ = 1400332953600. Its totient is φ = 162819514368.

The previous prime is 488097890531. The next prime is 488097890593. The reversal of 488097890560 is 65098790884.

It is a super-2 number, since 2×488097890560² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a junction number, because it is equal to n+sod(n) for n = 488097890492 and 488097890501.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16229457 + ... + 16259503.

It is an arithmetic number, because the mean of its divisors is an integer number (4862267200).

Almost surely, 2^488097890560 is an apocalyptic number.

488097890560 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 488097890560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (700166476800).

488097890560 is an abundant number, since it is smaller than the sum of its proper divisors (912235063040).

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

488097890560 is an equidigital number, since it uses as much as digits as its factorization.

488097890560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30126 (or 30098 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 64.

The spelling of 488097890560 in words is "four hundred eighty-eight billion, ninety-seven million, eight hundred ninety thousand, five hundred sixty".