10929279085608 has 512 divisors, whose sum is σ = 32338878566400. Its totient is φ = 3049353216000.

The previous prime is 10929279085607. The next prime is 10929279085619. The reversal of 10929279085608 is 80658097292901.

It is a happy number.

It is a super-2 number, since 2×10929279085608² (a number of 27 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (66) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (10929279085607) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2163782683 + ... + 2163787733.

It is an arithmetic number, because the mean of its divisors is an integer number (63161872200).

Almost surely, 2^{10929279085608} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10929279085608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16169439283200).

10929279085608 is an abundant number, since it is smaller than the sum of its proper divisors (21409599480792).

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

10929279085608 is a wasteful number, since it uses less digits than its factorization.

10929279085608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5313 (or 5309 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 66.

The spelling of 10929279085608 in words is "ten trillion, nine hundred twenty-nine billion, two hundred seventy-nine million, eighty-five thousand, six hundred eight".