10268108863320 has 512 divisors, whose sum is σ = 40439927808000. Its totient is φ = 2020676751360.

The previous prime is 10268108863303. The next prime is 10268108863333. The reversal of 10268108863320 is 2336880186201.

It is a Cunningham number, because it is equal to 3204389²-1.

It is a self number, because there is not a number n which added to its sum of digits gives 10268108863320.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 672913851 + ... + 672929109.

It is an arithmetic number, because the mean of its divisors is an integer number (78984234000).

Almost surely, 2^{10268108863320} is an apocalyptic number.

10268108863320 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 10268108863320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20219963904000).

10268108863320 is an abundant number, since it is smaller than the sum of its proper divisors (30171818944680).

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

10268108863320 is a wasteful number, since it uses less digits than its factorization.

10268108863320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19143 (or 19139 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 48.

The spelling of 10268108863320 in words is "ten trillion, two hundred sixty-eight billion, one hundred eight million, eight hundred sixty-three thousand, three hundred twenty".