25212205165344 has 192 divisors, whose sum is σ = 68145183590400. Its totient is φ = 8158808706048.

The previous prime is 25212205165333. The next prime is 25212205165373. The reversal of 25212205165344 is 44356150221252.

It is a junction number, because it is equal to n+sod(n) for n = 25212205165296 and 25212205165305.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 277900662 + ... + 277991370.

It is an arithmetic number, because the mean of its divisors is an integer number (354922831200).

Almost surely, 2^{25212205165344} is an apocalyptic number.

25212205165344 is a gapful number since it is divisible by the number (24) 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 25212205165344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34072591795200).

25212205165344 is an abundant number, since it is smaller than the sum of its proper divisors (42932978425056).

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

25212205165344 is a wasteful number, since it uses less digits than its factorization.

25212205165344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91415 (or 91407 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 42.

Adding to 25212205165344 its reverse (44356150221252), we get a palindrome (69568355386596).

The spelling of 25212205165344 in words is "twenty-five trillion, two hundred twelve billion, two hundred five million, one hundred sixty-five thousand, three hundred forty-four".