10200525444 has 36 divisors (see below), whose sum is σ = 25791658620. Its totient is φ = 3399252480.

The previous prime is 10200525443. The next prime is 10200525463. The reversal of 10200525444 is 44452500201.

10200525444 is a `hidden beast` number, since 10 + 200 + 5 + 2 + 5 + 444 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4008409344 + 6192116100 = 63312^2 + 78690^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (10200525443) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 103212 + ... + 176220.

Almost surely, 2^10200525444 is an apocalyptic number.

It is an amenable number.

10200525444 is an abundant number, since it is smaller than the sum of its proper divisors (15591133176).

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

10200525444 is a wasteful number, since it uses less digits than its factorization.

10200525444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76900 (or 76895 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

It can be divided in two parts, 102005 and 25444, that added together give a square (127449 = 357²).

The spelling of 10200525444 in words is "ten billion, two hundred million, five hundred twenty-five thousand, four hundred forty-four".