10125835920 has 200 divisors, whose sum is σ = 35237104056. Its totient is φ = 2694961152.

The previous prime is 10125835891. The next prime is 10125835921. The reversal of 10125835920 is 2953852101.

10125835920 is a `hidden beast` number, since 1 + 0 + 1 + 2 + 583 + 59 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 196112016 + 9929723904 = 14004^2 + 99648^2 .

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

It is not an unprimeable number, because it can be changed into a prime (10125835921) 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 39 ways as a sum of consecutive naturals, for example, 4230244 + ... + 4232636.

Almost surely, 2^10125835920 is an apocalyptic number.

10125835920 is a gapful number since it is divisible by the number (10) 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 10125835920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17618552028).

10125835920 is an abundant number, since it is smaller than the sum of its proper divisors (25111268136).

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

10125835920 is a wasteful number, since it uses less digits than its factorization.

10125835920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3071 (or 3056 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The spelling of 10125835920 in words is "ten billion, one hundred twenty-five million, eight hundred thirty-five thousand, nine hundred twenty".