488251587936528 has 360 divisors, whose sum is σ = 1536714827706240. Its totient is φ = 144542712038400.

The previous prime is 488251587936517. The next prime is 488251587936577. The reversal of 488251587936528 is 825639785152884.

488251587936528 is a `hidden beast` number, since 4 + 8 + 8 + 2 + 5 + 1 + 5 + 87 + 9 + 3 + 6 + 528 = 666.

It is a super-2 number, since 2×488251587936528² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 63866178 + ... + 71101278.

It is an arithmetic number, because the mean of its divisors is an integer number (4268652299184).

Almost surely, 2^{488251587936528} is an apocalyptic number.

488251587936528 is a gapful number since it is divisible by the number (48) 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 488251587936528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (768357413853120).

488251587936528 is an abundant number, since it is smaller than the sum of its proper divisors (1048463239769712).

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

488251587936528 is a wasteful number, since it uses less digits than its factorization.

488251587936528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7235247 (or 7235225 counting only the distinct ones).

The product of its digits is 9289728000, while the sum is 81.

The spelling of 488251587936528 in words is "four hundred eighty-eight trillion, two hundred fifty-one billion, five hundred eighty-seven million, nine hundred thirty-six thousand, five hundred twenty-eight".