25600102400000 has 576 divisors, whose sum is σ = 65958291875700. Its totient is φ = 9933946880000.

The previous prime is 25600102399981. The next prime is 25600102400027. The reversal of 25600102400000 is 420100652.

It is a happy number.

It can be written as a sum of positive squares in 18 ways, for example, as 19854224932864 + 5745877467136 = 4455808^2 + 2397056^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 287641599956 + ... + 287641600044.

Almost surely, 2^{25600102400000} is an apocalyptic number.

25600102400000 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 25600102400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32979145937850).

25600102400000 is an abundant number, since it is smaller than the sum of its proper divisors (40358189475700).

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

25600102400000 is an frugal number, since it uses more digits than its factorization.

25600102400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 25600102400000 its reverse (420100652), we get a palindrome (25600522500652).

The spelling of 25600102400000 in words is "twenty-five trillion, six hundred billion, one hundred two million, four hundred thousand".