25258758480 has 240 divisors, whose sum is σ = 88004367360. Its totient is φ = 6487603200.

The previous prime is 25258758451. The next prime is 25258758487. The reversal of 25258758480 is 8485785252.

25258758480 is a `hidden beast` number, since 2 + 5 + 2 + 58 + 7 + 584 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25258758487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2326665 + ... + 2337495.

It is an arithmetic number, because the mean of its divisors is an integer number (366684864).

Almost surely, 2^25258758480 is an apocalyptic number.

25258758480 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 25258758480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44002183680).

25258758480 is an abundant number, since it is smaller than the sum of its proper divisors (62745608880).

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

25258758480 is a wasteful number, since it uses less digits than its factorization.

25258758480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10970 (or 10961 counting only the distinct ones).

The product of its (nonzero) digits is 7168000, while the sum is 54.

The spelling of 25258758480 in words is "twenty-five billion, two hundred fifty-eight million, seven hundred fifty-eight thousand, four hundred eighty".