10250830464 has 128 divisors (see below), whose sum is σ = 31959945600. Its totient is φ = 2849624064.

The previous prime is 10250830453. The next prime is 10250830487. The reversal of 10250830464 is 46403805201.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47922 + ... + 150990.

It is an arithmetic number, because the mean of its divisors is an integer number (249687075).

Almost surely, 2^10250830464 is an apocalyptic number.

10250830464 is a gapful number since it is divisible by the number (14) 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 10250830464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15979972800).

10250830464 is an abundant number, since it is smaller than the sum of its proper divisors (21709115136).

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

10250830464 is a wasteful number, since it uses less digits than its factorization.

10250830464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103130 (or 103118 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The spelling of 10250830464 in words is "ten billion, two hundred fifty million, eight hundred thirty thousand, four hundred sixty-four".