488561856000 has 640 divisors, whose sum is σ = 1665822951936. Its totient is φ = 127003852800.

The previous prime is 488561855993. The next prime is 488561856049. The reversal of 488561856000 is 658165884.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (640).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2096831884 + ... + 2096832116.

Almost surely, 2^488561856000 is an apocalyptic number.

488561856000 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 488561856000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (832911475968).

488561856000 is an abundant number, since it is smaller than the sum of its proper divisors (1177261095936).

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

488561856000 is a wasteful number, since it uses less digits than its factorization.

488561856000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 499 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 1843200, while the sum is 51.

The spelling of 488561856000 in words is "four hundred eighty-eight billion, five hundred sixty-one million, eight hundred fifty-six thousand".