488238871680 has 384 divisors, whose sum is σ = 2028213532800. Its totient is φ = 105723740160.

The previous prime is 488238871643. The next prime is 488238871723. The reversal of 488238871680 is 86178832884.

488238871680 is a `hidden beast` number, since 488 + 2 + 3 + 8 + 8 + 71 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (63).

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 47 ways as a sum of consecutive naturals, for example, 447420 + ... + 1084740.

It is an arithmetic number, because the mean of its divisors is an integer number (5281806075).

Almost surely, 2^488238871680 is an apocalyptic number.

488238871680 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 488238871680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1014106766400).

488238871680 is an abundant number, since it is smaller than the sum of its proper divisors (1539974661120).

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

488238871680 is a wasteful number, since it uses less digits than its factorization.

488238871680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 637372 (or 637357 counting only the distinct ones).

The product of its (nonzero) digits is 33030144, while the sum is 63.

The spelling of 488238871680 in words is "four hundred eighty-eight billion, two hundred thirty-eight million, eight hundred seventy-one thousand, six hundred eighty".