10768060160 has 288 divisors, whose sum is σ = 30688943040. Its totient is φ = 3568435200.

The previous prime is 10768060153. The next prime is 10768060241. The reversal of 10768060160 is 6106086701.

It is a super-2 number, since 2×10768060160² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10768060160.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16290230 + ... + 16290890.

It is an arithmetic number, because the mean of its divisors is an integer number (106558830).

Almost surely, 2^10768060160 is an apocalyptic number.

10768060160 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 10768060160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15344471520).

10768060160 is an abundant number, since it is smaller than the sum of its proper divisors (19920882880).

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

10768060160 is a wasteful number, since it uses less digits than its factorization.

10768060160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 795 (or 781 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 35.

The spelling of 10768060160 in words is "ten billion, seven hundred sixty-eight million, sixty thousand, one hundred sixty".