25440343075152 has 360 divisors, whose sum is σ = 79270080140160. Its totient is φ = 7591695390720.

The previous prime is 25440343075151. The next prime is 25440343075291. The reversal of 25440343075152 is 25157034304452.

25440343075152 is a `hidden beast` number, since 2 + 54 + 40 + 3 + 43 + 0 + 7 + 515 + 2 = 666.

It is a super-3 number, since 3×25440343075152³ (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 25440343075098 and 25440343075107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25440343075151) 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, 108028252 + ... + 108263492.

It is an arithmetic number, because the mean of its divisors is an integer number (220194667056).

Almost surely, 2^{25440343075152} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25440343075152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39635040070080).

25440343075152 is an abundant number, since it is smaller than the sum of its proper divisors (53829737065008).

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

25440343075152 is a wasteful number, since it uses less digits than its factorization.

25440343075152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235379 (or 235341 counting only the distinct ones).

The product of its (nonzero) digits is 2016000, while the sum is 45.

The spelling of 25440343075152 in words is "twenty-five trillion, four hundred forty billion, three hundred forty-three million, seventy-five thousand, one hundred fifty-two".