25350028128 has 288 divisors, whose sum is σ = 76875402240. Its totient is φ = 7907328000.

The previous prime is 25350028127. The next prime is 25350028139. The reversal of 25350028128 is 82182005352.

25350028128 is a `hidden beast` number, since 2 + 5 + 3 + 500 + 28 + 128 = 666.

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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 25350028092 and 25350028101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25350028127) 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, 100996003 + ... + 100996253.

It is an arithmetic number, because the mean of its divisors is an integer number (266928480).

Almost surely, 2^25350028128 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 25350028128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38437701120).

25350028128 is an abundant number, since it is smaller than the sum of its proper divisors (51525374112).

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

25350028128 is a wasteful number, since it uses less digits than its factorization.

25350028128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 25350028128 in words is "twenty-five billion, three hundred fifty million, twenty-eight thousand, one hundred twenty-eight".