25306286880 has 192 divisors, whose sum is σ = 91506723840. Its totient is φ = 5758639104.

The previous prime is 25306286879. The next prime is 25306286881. The reversal of 25306286880 is 8868260352.

It is an interprime number because it is at equal distance from previous prime (25306286879) and next prime (25306286881).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (25306286881) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 746131 + ... + 779309.

It is an arithmetic number, because the mean of its divisors is an integer number (476597520).

Almost surely, 2^25306286880 is an apocalyptic number.

25306286880 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 25306286880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45753361920).

25306286880 is an abundant number, since it is smaller than the sum of its proper divisors (66200436960).

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

25306286880 is a wasteful number, since it uses less digits than its factorization.

25306286880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33431 (or 33423 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 48.

The spelling of 25306286880 in words is "twenty-five billion, three hundred six million, two hundred eighty-six thousand, eight hundred eighty".