10680026260320 has 1536 divisors, whose sum is σ = 42142909132800. Its totient is φ = 2513391648768.

The previous prime is 10680026260259. The next prime is 10680026260363. The reversal of 10680026260320 is 2306262008601.

10680026260320 is a `hidden beast` number, since 1 + 0 + 6 + 8 + 0 + 0 + 2 + 626 + 0 + 3 + 20 = 666.

10680026260320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10680026260320² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 17309604652 + ... + 17309605268.

It is an arithmetic number, because the mean of its divisors is an integer number (27436789800).

Almost surely, 2^{10680026260320} is an apocalyptic number.

10680026260320 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 10680026260320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21071454566400).

10680026260320 is an abundant number, since it is smaller than the sum of its proper divisors (31462882872480).

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

10680026260320 is a wasteful number, since it uses less digits than its factorization.

10680026260320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 909 (or 895 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

Adding to 10680026260320 its reverse (2306262008601), we get a palindrome (12986288268921).

The spelling of 10680026260320 in words is "ten trillion, six hundred eighty billion, twenty-six million, two hundred sixty thousand, three hundred twenty".