25669119703040 has 384 divisors, whose sum is σ = 70794008812800. Its totient is φ = 8834490040320.

The previous prime is 25669119702977. The next prime is 25669119703049. The reversal of 25669119703040 is 4030791196652.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25669119703049) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 2489000924 + ... + 2489011236.

It is an arithmetic number, because the mean of its divisors is an integer number (184359397950).

Almost surely, 2^{25669119703040} is an apocalyptic number.

25669119703040 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 25669119703040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35397004406400).

25669119703040 is an abundant number, since it is smaller than the sum of its proper divisors (45124889109760).

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

25669119703040 is a wasteful number, since it uses less digits than its factorization.

25669119703040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11533 (or 11513 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 53.

The spelling of 25669119703040 in words is "twenty-five trillion, six hundred sixty-nine billion, one hundred nineteen million, seven hundred three thousand, forty".