10679164160 has 288 divisors, whose sum is σ = 30711018240. Its totient is φ = 3480551424.

The previous prime is 10679164129. The next prime is 10679164231. The reversal of 10679164160 is 6146197601.

It is a super-3 number, since 3×10679164160³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18968039 + ... + 18968601.

It is an arithmetic number, because the mean of its divisors is an integer number (106635480).

Almost surely, 2^10679164160 is an apocalyptic number.

10679164160 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 10679164160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15355509120).

10679164160 is an abundant number, since it is smaller than the sum of its proper divisors (20031854080).

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

10679164160 is an equidigital number, since it uses as much as digits as its factorization.

10679164160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 693 (or 679 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 41.

The spelling of 10679164160 in words is "ten billion, six hundred seventy-nine million, one hundred sixty-four thousand, one hundred sixty".