488380601210880 has 1152 divisors, whose sum is σ = 1868035855795200. Its totient is φ = 108570017267712.

The previous prime is 488380601210869. The next prime is 488380601210899. The reversal of 488380601210880 is 88012106083884.

It is a super-2 number, since 2×488380601210880² (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 488380601210880.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7967416392 + ... + 7967477688.

It is an arithmetic number, because the mean of its divisors is an integer number (1621558902600).

Almost surely, 2^{488380601210880} is an apocalyptic number.

488380601210880 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 488380601210880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (934017927897600).

488380601210880 is an abundant number, since it is smaller than the sum of its proper divisors (1379655254584320).

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

488380601210880 is a wasteful number, since it uses less digits than its factorization.

488380601210880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61487 (or 61460 counting only the distinct ones).

The product of its (nonzero) digits is 4718592, while the sum is 57.

The spelling of 488380601210880 in words is "four hundred eighty-eight trillion, three hundred eighty billion, six hundred one million, two hundred ten thousand, eight hundred eighty".