488054922082560 has 4608 divisors, whose sum is σ = 2263122660556800. Its totient is φ = 96922333347840.

The previous prime is 488054922082513. The next prime is 488054922082631. The reversal of 488054922082560 is 65280229450884.

488054922082560 is a `hidden beast` number, since 4 + 8 + 8 + 0 + 5 + 49 + 2 + 20 + 8 + 2 + 560 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 791012839372 + ... + 791012839988.

It is an arithmetic number, because the mean of its divisors is an integer number (491129049600).

Almost surely, 2^{488054922082560} is an apocalyptic number.

488054922082560 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 488054922082560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1131561330278400).

488054922082560 is an abundant number, since it is smaller than the sum of its proper divisors (1775067738474240).

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

488054922082560 is a wasteful number, since it uses less digits than its factorization.

488054922082560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 934 (or 914 counting only the distinct ones).

The product of its (nonzero) digits is 88473600, while the sum is 63.

The spelling of 488054922082560 in words is "four hundred eighty-eight trillion, fifty-four billion, nine hundred twenty-two million, eighty-two thousand, five hundred sixty".