488937146880 has 960 divisors, whose sum is σ = 2073669776640. Its totient is φ = 97075593216.

The previous prime is 488937146879. The next prime is 488937146891. The reversal of 488937146880 is 88641739884.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (960).

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, 83163781 + ... + 83169659.

It is an arithmetic number, because the mean of its divisors is an integer number (2160072684).

Almost surely, 2^488937146880 is an apocalyptic number.

488937146880 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 488937146880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1036834888320).

488937146880 is an abundant number, since it is smaller than the sum of its proper divisors (1584732629760).

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

488937146880 is a wasteful number, since it uses less digits than its factorization.

488937146880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5949 (or 5926 counting only the distinct ones).

The product of its (nonzero) digits is 74317824, while the sum is 66.

The spelling of 488937146880 in words is "four hundred eighty-eight billion, nine hundred thirty-seven million, one hundred forty-six thousand, eight hundred eighty".