10272743250 has 128 divisors (see below), whose sum is σ = 31967889408. Its totient is φ = 2134584000.

The previous prime is 10272743237. The next prime is 10272743263. The reversal of 10272743250 is 5234727201.

10272743250 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10272743237) and next prime (10272743263).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 31192 + ... + 146691.

It is an arithmetic number, because the mean of its divisors is an integer number (249749136).

Almost surely, 2^10272743250 is an apocalyptic number.

10272743250 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 10272743250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15983944704).

10272743250 is an abundant number, since it is smaller than the sum of its proper divisors (21695146158).

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

10272743250 is a wasteful number, since it uses less digits than its factorization.

10272743250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177921 (or 177911 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 33.

The spelling of 10272743250 in words is "ten billion, two hundred seventy-two million, seven hundred forty-three thousand, two hundred fifty".