10125210240 has 96 divisors (see below), whose sum is σ = 34963636500. Its totient is φ = 2700054528.

The previous prime is 10125210187. The next prime is 10125210253. The reversal of 10125210240 is 4201252101.

10125210240 is a `hidden beast` number, since 101 + 2 + 521 + 0 + 2 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 8462528064 + 1662682176 = 91992^2 + 40776^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 873165 + ... + 884684.

Almost surely, 2^10125210240 is an apocalyptic number.

10125210240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10125210240 is an abundant number, since it is smaller than the sum of its proper divisors (24838426260).

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

10125210240 is a wasteful number, since it uses less digits than its factorization.

10125210240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1757874 (or 1757859 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

Adding to 10125210240 its reverse (4201252101), we get a palindrome (14326462341).

The spelling of 10125210240 in words is "ten billion, one hundred twenty-five million, two hundred ten thousand, two hundred forty".