488106178560 has 2592 divisors, whose sum is σ = 2363332476960. Its totient is φ = 91092418560.

The previous prime is 488106178537. The next prime is 488106178583. The reversal of 488106178560 is 65871601884.

It is a happy number.

488106178560 is a `hidden beast` number, since 4 + 8 + 8 + 1 + 0 + 6 + 1 + 78 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (488106178537) and next prime (488106178583).

It is a junction number, because it is equal to n+sod(n) for n = 488106178497 and 488106178506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 13192058862 + ... + 13192058898.

It is an arithmetic number, because the mean of its divisors is an integer number (911779505).

Almost surely, 2^488106178560 is an apocalyptic number.

488106178560 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 488106178560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1181666238480).

488106178560 is an abundant number, since it is smaller than the sum of its proper divisors (1875226298400).

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

488106178560 is a wasteful number, since it uses less digits than its factorization.

488106178560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 54.

It can be divided in two parts, 488106 and 178560, that added together give a palindrome (666666).

The spelling of 488106178560 in words is "four hundred eighty-eight billion, one hundred six million, one hundred seventy-eight thousand, five hundred sixty".