25282001160 has 288 divisors, whose sum is σ = 93660278400. Its totient is φ = 5895452160.

The previous prime is 25282001083. The next prime is 25282001203. The reversal of 25282001160 is 6110028252.

It is a happy number.

25282001160 is a `hidden beast` number, since 2 + 528 + 20 + 0 + 116 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1145025 + ... + 1166895.

It is an arithmetic number, because the mean of its divisors is an integer number (325209300).

Almost surely, 2^25282001160 is an apocalyptic number.

25282001160 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 25282001160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46830139200).

25282001160 is an abundant number, since it is smaller than the sum of its proper divisors (68378277240).

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

25282001160 is a wasteful number, since it uses less digits than its factorization.

25282001160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21933 (or 21913 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The spelling of 25282001160 in words is "twenty-five billion, two hundred eighty-two million, one thousand, one hundred sixty".