25433872128 has 432 divisors, whose sum is σ = 88981697280. Its totient is φ = 7019550720.

The previous prime is 25433872069. The next prime is 25433872129. The reversal of 25433872128 is 82127833452.

25433872128 is a `hidden beast` number, since 2 + 54 + 3 + 387 + 212 + 8 = 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 (25433872129) 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, 46496751 + ... + 46497297.

Almost surely, 2^25433872128 is an apocalyptic number.

25433872128 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25433872128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44490848640).

25433872128 is an abundant number, since it is smaller than the sum of its proper divisors (63547825152).

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

25433872128 is an equidigital number, since it uses as much as digits as its factorization.

25433872128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 641 (or 590 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

It can be divided in two parts, 25 and 433872128, that added together give a triangular number (433872153 = T₂₉₄₅₇).

The spelling of 25433872128 in words is "twenty-five billion, four hundred thirty-three million, eight hundred seventy-two thousand, one hundred twenty-eight".