25648754356800 has 504 divisors, whose sum is σ = 95159907947520. Its totient is φ = 6544652083200.

The previous prime is 25648754356783. The next prime is 25648754356829. The reversal of 25648754356800 is 865345784652.

25648754356800 is a `hidden beast` number, since 2 + 5 + 6 + 4 + 8 + 7 + 543 + 5 + 6 + 80 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 39406809 + ... + 40052391.

Almost surely, 2^{25648754356800} is an apocalyptic number.

25648754356800 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 25648754356800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47579953973760).

25648754356800 is an abundant number, since it is smaller than the sum of its proper divisors (69511153590720).

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

25648754356800 is a wasteful number, since it uses less digits than its factorization.

25648754356800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 645731 (or 645713 counting only the distinct ones).

The product of its (nonzero) digits is 193536000, while the sum is 63.

The spelling of 25648754356800 in words is "twenty-five trillion, six hundred forty-eight billion, seven hundred fifty-four million, three hundred fifty-six thousand, eight hundred".