25230728160 has 576 divisors, whose sum is σ = 101811790080. Its totient is φ = 5620285440.

The previous prime is 25230728153. The next prime is 25230728179. The reversal of 25230728160 is 6182703252.

25230728160 is a `hidden beast` number, since 2 + 523 + 0 + 72 + 8 + 1 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11577951 + ... + 11580129.

It is an arithmetic number, because the mean of its divisors is an integer number (176756580).

Almost surely, 2^25230728160 is an apocalyptic number.

25230728160 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 25230728160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50905895040).

25230728160 is an abundant number, since it is smaller than the sum of its proper divisors (76581061920).

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

25230728160 is a wasteful number, since it uses less digits than its factorization.

25230728160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2271 (or 2260 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 25230728160 in words is "twenty-five billion, two hundred thirty million, seven hundred twenty-eight thousand, one hundred sixty".