25768905243840 has 1680 divisors, whose sum is σ = 107010673862400. Its totient is φ = 5861446778880.

The previous prime is 25768905243839. The next prime is 25768905243853. The reversal of 25768905243840 is 4834250986752.

25768905243840 is a `hidden beast` number, since 2 + 5 + 7 + 68 + 9 + 0 + 524 + 3 + 8 + 40 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 25539053256 + ... + 25539054264.

It is an arithmetic number, because the mean of its divisors is an integer number (63696829680).

Almost surely, 2^{25768905243840} is an apocalyptic number.

25768905243840 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 25768905243840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53505336931200).

25768905243840 is an abundant number, since it is smaller than the sum of its proper divisors (81241768618560).

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

25768905243840 is a wasteful number, since it uses less digits than its factorization.

25768905243840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1556 (or 1526 counting only the distinct ones).

The product of its (nonzero) digits is 116121600, while the sum is 63.

The spelling of 25768905243840 in words is "twenty-five trillion, seven hundred sixty-eight billion, nine hundred five million, two hundred forty-three thousand, eight hundred forty".