68148092278560 has 576 divisors, whose sum is σ = 255985281901440. Its totient is φ = 15186057707520.

The previous prime is 68148092278537. The next prime is 68148092278577. The reversal of 68148092278560 is 6587229084186.

68148092278560 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 68148092278491 and 68148092278500.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1406918662 + ... + 1406967098.

It is an arithmetic number, because the mean of its divisors is an integer number (444418892190).

Almost surely, 2^{68148092278560} is an apocalyptic number.

68148092278560 is a gapful number since it is divisible by the number (60) 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 68148092278560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127992640950720).

68148092278560 is an abundant number, since it is smaller than the sum of its proper divisors (187837189622880).

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

68148092278560 is a wasteful number, since it uses less digits than its factorization.

68148092278560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49969 (or 49954 counting only the distinct ones).

The product of its (nonzero) digits is 92897280, while the sum is 66.

The spelling of 68148092278560 in words is "sixty-eight trillion, one hundred forty-eight billion, ninety-two million, two hundred seventy-eight thousand, five hundred sixty".