10004525431200 has 108 divisors (see below), whose sum is σ = 35278457827158. Its totient is φ = 2667873446400.

The previous prime is 10004525431193. The next prime is 10004525431207. The reversal of 10004525431200 is 213452540001.

10004525431200 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 4 + 5 + 25 + 431 + 200 = 666.

It is an interprime number because it is at equal distance from previous prime (10004525431193) and next prime (10004525431207).

It can be written as a sum of positive squares in 3 ways, for example, as 5835529187856 + 4168996243344 = 2415684^2 + 2041812^2 .

It is not an unprimeable number, because it can be changed into a prime (10004525431207) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 694751511 + ... + 694765910.

Almost surely, 2^{10004525431200} is an apocalyptic number.

10004525431200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10004525431200 is an abundant number, since it is smaller than the sum of its proper divisors (25273932395958).

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

10004525431200 is a wasteful number, since it uses less digits than its factorization.

10004525431200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1389517447 (or 1389517431 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 10004525431200 its reverse (213452540001), we get a palindrome (10217977971201).

The spelling of 10004525431200 in words is "ten trillion, four billion, five hundred twenty-five million, four hundred thirty-one thousand, two hundred".