25065068322420 has 288 divisors, whose sum is σ = 88992786355200. Its totient is φ = 5708013857280.

The previous prime is 25065068322419. The next prime is 25065068322421. The reversal of 25065068322420 is 2422386056052.

25065068322420 is a `hidden beast` number, since 2 + 5 + 0 + 6 + 506 + 83 + 22 + 42 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (25065068322419) and next prime (25065068322421).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25065068322421) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15982504 + ... + 17480576.

It is an arithmetic number, because the mean of its divisors is an integer number (309002730400).

Almost surely, 2^{25065068322420} is an apocalyptic number.

25065068322420 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 25065068322420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44496393177600).

25065068322420 is an abundant number, since it is smaller than the sum of its proper divisors (63927718032780).

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

25065068322420 is a wasteful number, since it uses less digits than its factorization.

25065068322420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1498380 (or 1498361 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 45.

The spelling of 25065068322420 in words is "twenty-five trillion, sixty-five billion, sixty-eight million, three hundred twenty-two thousand, four hundred twenty".