25356004128 has 432 divisors, whose sum is σ = 93694648320. Its totient is φ = 6685991424.

The previous prime is 25356004123. The next prime is 25356004129. The reversal of 25356004128 is 82140065352.

25356004128 is a `hidden beast` number, since 2 + 5 + 3 + 5 + 600 + 41 + 2 + 8 = 666.

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

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 = 25356004092 and 25356004101.

It is not an unprimeable number, because it can be changed into a prime (25356004123) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 4950753 + ... + 4955871.

It is an arithmetic number, because the mean of its divisors is an integer number (216885760).

Almost surely, 2^25356004128 is an apocalyptic number.

25356004128 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 25356004128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46847324160).

25356004128 is an abundant number, since it is smaller than the sum of its proper divisors (68338644192).

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

25356004128 is a wasteful number, since it uses less digits than its factorization.

25356004128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5171 (or 5144 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 25356004128 in words is "twenty-five billion, three hundred fifty-six million, four thousand, one hundred twenty-eight".