25125401006080 has 104 divisors (see below), whose sum is σ = 60915189793752. Its totient is φ = 9946549714944.

The previous prime is 25125401006023. The next prime is 25125401006107. The reversal of 25125401006080 is 8060010452152.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 10709766144 + 25114691239936 = 103488^2 + 5011456^2 .

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 4337287 + ... + 8310406.

Almost surely, 2^{25125401006080} is an apocalyptic number.

25125401006080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

25125401006080 is an abundant number, since it is smaller than the sum of its proper divisors (35789788787672).

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

25125401006080 is an equidigital number, since it uses as much as digits as its factorization.

25125401006080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12647819 (or 12647797 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 34.

The spelling of 25125401006080 in words is "twenty-five trillion, one hundred twenty-five billion, four hundred one million, six thousand, eighty".