123688568160 has 480 divisors, whose sum is σ = 475364181600. Its totient is φ = 30168391680.

The previous prime is 123688568153. The next prime is 123688568183. The reversal of 123688568160 is 61865886321.

123688568160 is a `hidden beast` number, since 1 + 2 + 3 + 68 + 8 + 568 + 16 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 123688568097 and 123688568106.

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 79 ways as a sum of consecutive naturals, for example, 7132300 + ... + 7149620.

It is an arithmetic number, because the mean of its divisors is an integer number (990342045).

Almost surely, 2^123688568160 is an apocalyptic number.

123688568160 is a gapful number since it is divisible by the number (10) 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 123688568160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237682090800).

123688568160 is an abundant number, since it is smaller than the sum of its proper divisors (351675613440).

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

123688568160 is a wasteful number, since it uses less digits than its factorization.

123688568160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17396 (or 17379 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 123688568160 in words is "one hundred twenty-three billion, six hundred eighty-eight million, five hundred sixty-eight thousand, one hundred sixty".