488273506560 has 1080 divisors, whose sum is σ = 2000629263360. Its totient is φ = 109929996288.

The previous prime is 488273506481. The next prime is 488273506619. The reversal of 488273506560 is 65605372884.

488273506560 is a `hidden beast` number, since 4 + 8 + 8 + 2 + 73 + 5 + 0 + 6 + 560 = 666.

It is a super-2 number, since 2×488273506560² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 488273506497 and 488273506506.

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 119 ways as a sum of consecutive naturals, for example, 3512758971 + ... + 3512759109.

Almost surely, 2^488273506560 is an apocalyptic number.

488273506560 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 488273506560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1000314631680).

488273506560 is an abundant number, since it is smaller than the sum of its proper divisors (1512355756800).

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

488273506560 is a wasteful number, since it uses less digits than its factorization.

488273506560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 488273506560 in words is "four hundred eighty-eight billion, two hundred seventy-three million, five hundred six thousand, five hundred sixty".