25903168252416 has 720 divisors, whose sum is σ = 98582582498400. Its totient is φ = 6472032731136.

The previous prime is 25903168252387. The next prime is 25903168252417. The reversal of 25903168252416 is 61425286130952.

25903168252416 is a `hidden beast` number, since 2 + 5 + 9 + 0 + 31 + 6 + 82 + 524 + 1 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (25903168252417) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 55538395 + ... + 56002853.

It is an arithmetic number, because the mean of its divisors is an integer number (136920253470).

Almost surely, 2^{25903168252416} is an apocalyptic number.

25903168252416 is a gapful number since it is divisible by the number (26) 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 25903168252416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49291291249200).

25903168252416 is an abundant number, since it is smaller than the sum of its proper divisors (72679414245984).

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

25903168252416 is a wasteful number, since it uses less digits than its factorization.

25903168252416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464529 (or 464503 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 25903168252416 in words is "twenty-five trillion, nine hundred three billion, one hundred sixty-eight million, two hundred fifty-two thousand, four hundred sixteen".