488521313280 has 3168 divisors, whose sum is σ = 2476917817920. Its totient is φ = 87199580160.

The previous prime is 488521313249. The next prime is 488521313309. The reversal of 488521313280 is 82313125884.

488521313280 is a `hidden beast` number, since 4 + 8 + 8 + 52 + 1 + 313 + 280 = 666.

It is a tau number, because it is divible by the number of its divisors (3168).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 5489003476 + ... + 5489003564.

Almost surely, 2^488521313280 is an apocalyptic number.

488521313280 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 488521313280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1238458908960).

488521313280 is an abundant number, since it is smaller than the sum of its proper divisors (1988396504640).

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

488521313280 is a wasteful number, since it uses less digits than its factorization.

488521313280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 488521313280 in words is "four hundred eighty-eight billion, five hundred twenty-one million, three hundred thirteen thousand, two hundred eighty".