25648896000 has 768 divisors, whose sum is σ = 105318420480. Its totient is φ = 5396889600.

The previous prime is 25648895999. The next prime is 25648896001. The reversal of 25648896000 is 69884652.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (25648895999) and next prime (25648896001).

It is a tau number, because it is divible by the number of its divisors (768).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25648896001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 69887817 + ... + 69888183.

It is an arithmetic number, because the mean of its divisors is an integer number (137133360).

Almost surely, 2^25648896000 is an apocalyptic number.

25648896000 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 25648896000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52659210240).

25648896000 is an abundant number, since it is smaller than the sum of its proper divisors (79669524480).

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

25648896000 is a wasteful number, since it uses less digits than its factorization.

25648896000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 427 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 48.

The spelling of 25648896000 in words is "twenty-five billion, six hundred forty-eight million, eight hundred ninety-six thousand".