10678376560 has 80 divisors (see below), whose sum is σ = 25777278720. Its totient is φ = 4109506560.

The previous prime is 10678376557. The next prime is 10678376573. The reversal of 10678376560 is 6567387601.

10678376560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×10678376560² (a number of 21 digits) contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 416596 + ... + 441484.

It is an arithmetic number, because the mean of its divisors is an integer number (322215984).

Almost surely, 2^10678376560 is an apocalyptic number.

10678376560 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 10678376560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12888639360).

10678376560 is an abundant number, since it is smaller than the sum of its proper divisors (15098902160).

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

10678376560 is a wasteful number, since it uses less digits than its factorization.

10678376560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25106 (or 25100 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 49.

The spelling of 10678376560 in words is "ten billion, six hundred seventy-eight million, three hundred seventy-six thousand, five hundred sixty".