25671002112 has 288 divisors, whose sum is σ = 87884596800. Its totient is φ = 7333576704.

The previous prime is 25671002089. The next prime is 25671002117. The reversal of 25671002112 is 21120017652.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (25671002117) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3479964 + ... + 3487332.

It is an arithmetic number, because the mean of its divisors is an integer number (305154850).

Almost surely, 2^25671002112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25671002112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43942298400).

25671002112 is an abundant number, since it is smaller than the sum of its proper divisors (62213594688).

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

25671002112 is an frugal number, since it uses more digits than its factorization.

25671002112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7413 (or 7381 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

Adding to 25671002112 its reverse (21120017652), we get a palindrome (46791019764).

The spelling of 25671002112 in words is "twenty-five billion, six hundred seventy-one million, two thousand, one hundred twelve".