10025760444 has 144 divisors (see below), whose sum is σ = 29001950208. Its totient is φ = 2681492352.

The previous prime is 10025760443. The next prime is 10025760473. The reversal of 10025760444 is 44406752001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10025760443) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 627742 + ... + 643514.

It is an arithmetic number, because the mean of its divisors is an integer number (201402432).

Almost surely, 2^10025760444 is an apocalyptic number.

10025760444 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 10025760444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14500975104).

10025760444 is an abundant number, since it is smaller than the sum of its proper divisors (18976189764).

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

10025760444 is a wasteful number, since it uses less digits than its factorization.

10025760444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15864 (or 15855 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 33.

The spelling of 10025760444 in words is "ten billion, twenty-five million, seven hundred sixty thousand, four hundred forty-four".