488800137000 has 1152 divisors, whose sum is σ = 1915627034880. Its totient is φ = 103420800000.

The previous prime is 488800136959. The next prime is 488800137013. The reversal of 488800137000 is 731008884.

It is a self number, because there is not a number n which added to its sum of digits gives 488800137000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3237086925 + ... + 3237087075.

It is an arithmetic number, because the mean of its divisors is an integer number (1662870690).

Almost surely, 2^488800137000 is an apocalyptic number.

488800137000 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 488800137000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (957813517440).

488800137000 is an abundant number, since it is smaller than the sum of its proper divisors (1426826897880).

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

488800137000 is a wasteful number, since it uses less digits than its factorization.

488800137000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 39.

The spelling of 488800137000 in words is "four hundred eighty-eight billion, eight hundred million, one hundred thirty-seven thousand".