10256866368750 has 144 divisors (see below), whose sum is σ = 28157756569488. Its totient is φ = 2697695280000.

The previous prime is 10256866368739. The next prime is 10256866368761. The reversal of 10256866368750 is 5786366865201.

10256866368750 is a `hidden beast` number, since 1 + 0 + 2 + 568 + 6 + 6 + 3 + 68 + 7 + 5 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (10256866368739) and next prime (10256866368761).

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2857317 + ... + 5355183.

It is an arithmetic number, because the mean of its divisors is an integer number (195539976177).

Almost surely, 2^{10256866368750} is an apocalyptic number.

10256866368750 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10256866368750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14078878284744).

10256866368750 is an abundant number, since it is smaller than the sum of its proper divisors (17900890200738).

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

10256866368750 is an equidigital number, since it uses as much as digits as its factorization.

10256866368750 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2497973 (or 2497950 counting only the distinct ones).

The product of its (nonzero) digits is 87091200, while the sum is 63.

The spelling of 10256866368750 in words is "ten trillion, two hundred fifty-six billion, eight hundred sixty-six million, three hundred sixty-eight thousand, seven hundred fifty".