25726538649600 has 1248 divisors, whose sum is σ = 99248577744000. Its totient is φ = 6523618590720.

The previous prime is 25726538649599. The next prime is 25726538649613. The reversal of 25726538649600 is 694683562752.

25726538649600 is a `hidden beast` number, since 2 + 5 + 7 + 2 + 6 + 538 + 6 + 4 + 96 + 0 + 0 = 666.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 5372004006 + ... + 5372008794.

Almost surely, 2^{25726538649600} is an apocalyptic number.

25726538649600 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 25726538649600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49624288872000).

25726538649600 is an abundant number, since it is smaller than the sum of its proper divisors (73522039094400).

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

25726538649600 is a wasteful number, since it uses less digits than its factorization.

25726538649600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4928 (or 4895 counting only the distinct ones).

The product of its (nonzero) digits is 130636800, while the sum is 63.

The spelling of 25726538649600 in words is "twenty-five trillion, seven hundred twenty-six billion, five hundred thirty-eight million, six hundred forty-nine thousand, six hundred".