25458300000 has 720 divisors, whose sum is σ = 107191576800. Its totient is φ = 5806080000.

The previous prime is 25458299939. The next prime is 25458300001. The reversal of 25458300000 is 385452.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25458300001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 56699776 + ... + 56700224.

It is an arithmetic number, because the mean of its divisors is an integer number (148877190).

Almost surely, 2^25458300000 is an apocalyptic number.

25458300000 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 25458300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53595788400).

25458300000 is an abundant number, since it is smaller than the sum of its proper divisors (81733276800).

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

25458300000 is an frugal number, since it uses more digits than its factorization.

25458300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 25458300000 its reverse (385452), we get a palindrome (25458685452).

The spelling of 25458300000 in words is "twenty-five billion, four hundred fifty-eight million, three hundred thousand".