25820359488 has 504 divisors, whose sum is σ = 95026276800. Its totient is φ = 6645058560.

The previous prime is 25820359463. The next prime is 25820359489. The reversal of 25820359488 is 88495302852.

It is a happy number.

25820359488 is a `hidden beast` number, since 2 + 582 + 0 + 3 + 59 + 4 + 8 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25820359489) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 236883978 + ... + 236884086.

It is an arithmetic number, because the mean of its divisors is an integer number (188544200).

Almost surely, 2^25820359488 is an apocalyptic number.

25820359488 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 25820359488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47513138400).

25820359488 is an abundant number, since it is smaller than the sum of its proper divisors (69205917312).

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

25820359488 is a wasteful number, since it uses less digits than its factorization.

25820359488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 54.

The spelling of 25820359488 in words is "twenty-five billion, eight hundred twenty million, three hundred fifty-nine thousand, four hundred eighty-eight".