10268871140736 has 512 divisors, whose sum is σ = 34449780288000. Its totient is φ = 2985237504000.

The previous prime is 10268871140729. The next prime is 10268871140743. The reversal of 10268871140736 is 63704117886201.

10268871140736 is a `hidden beast` number, since 102 + 68 + 8 + 71 + 1 + 407 + 3 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (10268871140729) and next prime (10268871140743).

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 318388611 + ... + 318420861.

It is an arithmetic number, because the mean of its divisors is an integer number (67284727125).

Almost surely, 2^{10268871140736} is an apocalyptic number.

10268871140736 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 10268871140736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17224890144000).

10268871140736 is an abundant number, since it is smaller than the sum of its proper divisors (24180909147264).

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

10268871140736 is a wasteful number, since it uses less digits than its factorization.

10268871140736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32679 (or 32661 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 10268871140736 in words is "ten trillion, two hundred sixty-eight billion, eight hundred seventy-one million, one hundred forty thousand, seven hundred thirty-six".