10659058679808 has 1440 divisors, whose sum is σ = 40700145024000. Its totient is φ = 2746786775040.

The previous prime is 10659058679761. The next prime is 10659058679833. The reversal of 10659058679808 is 80897685095601.

It is a super-2 number, since 2×10659058679808² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 83929595841 + ... + 83929595967.

It is an arithmetic number, because the mean of its divisors is an integer number (28263989600).

Almost surely, 2^{10659058679808} is an apocalyptic number.

10659058679808 is a gapful number since it is divisible by the number (18) 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 10659058679808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20350072512000).

10659058679808 is an abundant number, since it is smaller than the sum of its proper divisors (30041086344192).

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

10659058679808 is an frugal number, since it uses more digits than its factorization.

10659058679808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 261273600, while the sum is 72.

The spelling of 10659058679808 in words is "ten trillion, six hundred fifty-nine billion, fifty-eight million, six hundred seventy-nine thousand, eight hundred eight".