25627145472 has 432 divisors, whose sum is σ = 80496579072. Its totient is φ = 8121876480.

The previous prime is 25627145471. The next prime is 25627145519. The reversal of 25627145472 is 27454172652.

25627145472 is a `hidden beast` number, since 2 + 5 + 62 + 71 + 454 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25627145471) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 187059388 + ... + 187059524.

Almost surely, 2^25627145472 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 25627145472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40248289536).

25627145472 is an abundant number, since it is smaller than the sum of its proper divisors (54869433600).

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

25627145472 is an equidigital number, since it uses as much as digits as its factorization.

25627145472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 270 counting only the distinct ones).

The product of its digits is 940800, while the sum is 45.

The spelling of 25627145472 in words is "twenty-five billion, six hundred twenty-seven million, one hundred forty-five thousand, four hundred seventy-two".