10250117856 has 144 divisors (see below), whose sum is σ = 31876685568. Its totient is φ = 3098476800.

The previous prime is 10250117851. The next prime is 10250117863. The reversal of 10250117856 is 65871105201.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 10250117856.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10250117851) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1361655 + ... + 1369161.

It is an arithmetic number, because the mean of its divisors is an integer number (221365872).

Almost surely, 2^10250117856 is an apocalyptic number.

10250117856 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 10250117856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15938342784).

10250117856 is an abundant number, since it is smaller than the sum of its proper divisors (21626567712).

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

10250117856 is a wasteful number, since it uses less digits than its factorization.

10250117856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7965 (or 7954 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 36.

The spelling of 10250117856 in words is "ten billion, two hundred fifty million, one hundred seventeen thousand, eight hundred fifty-six".