488752517998080 has 2880 divisors, whose sum is σ = 2065668015071232. Its totient is φ = 108587577507840.

The previous prime is 488752517998067. The next prime is 488752517998111. The reversal of 488752517998080 is 80899715257884.

488752517998080 is a `hidden beast` number, since 4 + 8 + 8 + 7 + 5 + 2 + 517 + 9 + 98 + 0 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1331750730057 + ... + 1331750730423.

Almost surely, 2^{488752517998080} is an apocalyptic number.

488752517998080 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 488752517998080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1032834007535616).

488752517998080 is an abundant number, since it is smaller than the sum of its proper divisors (1576915497073152).

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

488752517998080 is an frugal number, since it uses more digits than its factorization.

488752517998080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 709 (or 672 counting only the distinct ones).

The product of its (nonzero) digits is 3251404800, while the sum is 81.

The spelling of 488752517998080 in words is "four hundred eighty-eight trillion, seven hundred fifty-two billion, five hundred seventeen million, nine hundred ninety-eight thousand, eighty".