25105248000 has 864 divisors, whose sum is σ = 107960973120. Its totient is φ = 5728665600.

The previous prime is 25105247989. The next prime is 25105248001. The reversal of 25105248000 is 84250152.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (864).

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 (25105248001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 42335704 + ... + 42336296.

It is an arithmetic number, because the mean of its divisors is an integer number (124954830).

Almost surely, 2^25105248000 is an apocalyptic number.

25105248000 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 25105248000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53980486560).

25105248000 is an abundant number, since it is smaller than the sum of its proper divisors (82855725120).

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

25105248000 is an equidigital number, since it uses as much as digits as its factorization.

25105248000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 647 (or 610 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

Adding to 25105248000 its reverse (84250152), we get a palindrome (25189498152).

The spelling of 25105248000 in words is "twenty-five billion, one hundred five million, two hundred forty-eight thousand".