10268681280 has 448 divisors, whose sum is σ = 38662880256. Its totient is φ = 2276352000.

The previous prime is 10268681261. The next prime is 10268681303. The reversal of 10268681280 is 8218686201.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17983395 + ... + 17983965.

It is an arithmetic number, because the mean of its divisors is an integer number (86301072).

Almost surely, 2^10268681280 is an apocalyptic number.

10268681280 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 10268681280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19331440128).

10268681280 is an abundant number, since it is smaller than the sum of its proper divisors (28394198976).

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

10268681280 is a wasteful number, since it uses less digits than its factorization.

10268681280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 746 (or 736 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 42.

The spelling of 10268681280 in words is "ten billion, two hundred sixty-eight million, six hundred eighty-one thousand, two hundred eighty".