10468176316560 has 480 divisors, whose sum is σ = 38751652592640. Its totient is φ = 2520649663488.

The previous prime is 10468176316501. The next prime is 10468176316571. The reversal of 10468176316560 is 6561367186401.

It is a happy number.

10468176316560 is a `hidden beast` number, since 1 + 0 + 4 + 6 + 8 + 1 + 7 + 63 + 16 + 560 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 10468176316497 and 10468176316506.

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, 88984339 + ... + 89101901.

It is an arithmetic number, because the mean of its divisors is an integer number (80732609568).

Almost surely, 2^{10468176316560} is an apocalyptic number.

10468176316560 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 10468176316560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19375826296320).

10468176316560 is an abundant number, since it is smaller than the sum of its proper divisors (28283476276080).

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

10468176316560 is a wasteful number, since it uses less digits than its factorization.

10468176316560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117907 (or 117898 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 10468176316560 in words is "ten trillion, four hundred sixty-eight billion, one hundred seventy-six million, three hundred sixteen thousand, five hundred sixty".