25320128400 has 360 divisors, whose sum is σ = 100621220544. Its totient is φ = 5775897600.

The previous prime is 25320128399. The next prime is 25320128411. The reversal of 25320128400 is 482102352.

25320128400 is a `hidden beast` number, since 2 + 53 + 201 + 2 + 8 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×25320128400² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

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, 23863870 + ... + 23864930.

Almost surely, 2^25320128400 is an apocalyptic number.

25320128400 is a gapful number since it is divisible by the number (20) 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 25320128400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50310610272).

25320128400 is an abundant number, since it is smaller than the sum of its proper divisors (75301092144).

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

25320128400 is a wasteful number, since it uses less digits than its factorization.

25320128400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2039 (or 2025 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The spelling of 25320128400 in words is "twenty-five billion, three hundred twenty million, one hundred twenty-eight thousand, four hundred".