10268914302976 has 960 divisors, whose sum is σ = 27395686563840. Its totient is φ = 3745429585920.

The previous prime is 10268914302961. The next prime is 10268914302991. The reversal of 10268914302976 is 67920341986201.

It is an interprime number because it is at equal distance from previous prime (10268914302961) and next prime (10268914302991).

It is a self number, because there is not a number n which added to its sum of digits gives 10268914302976.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 115381059540 + ... + 115381059628.

It is an arithmetic number, because the mean of its divisors is an integer number (28537173504).

Almost surely, 2^{10268914302976} is an apocalyptic number.

10268914302976 is a gapful number since it is divisible by the number (16) 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 10268914302976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13697843281920).

10268914302976 is an abundant number, since it is smaller than the sum of its proper divisors (17126772260864).

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

10268914302976 is an equidigital number, since it uses as much as digits as its factorization.

10268914302976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 58.

The spelling of 10268914302976 in words is "ten trillion, two hundred sixty-eight billion, nine hundred fourteen million, three hundred two thousand, nine hundred seventy-six".