25351444540240 has 320 divisors, whose sum is σ = 74468654701056. Its totient is φ = 7811657957376.

The previous prime is 25351444540187. The next prime is 25351444540271. The reversal of 25351444540240 is 4204544415352.

25351444540240 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-5 number, since 5×25351444540240⁵ (a number of 68 digits) contains 55555 as substring.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 97852152 + ... + 98110888.

Almost surely, 2^{25351444540240} is an apocalyptic number.

25351444540240 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 25351444540240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37234327350528).

25351444540240 is an abundant number, since it is smaller than the sum of its proper divisors (49117210160816).

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

25351444540240 is a wasteful number, since it uses less digits than its factorization.

25351444540240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259126 (or 259120 counting only the distinct ones).

The product of its (nonzero) digits is 1536000, while the sum is 43.

Adding to 25351444540240 its reverse (4204544415352), we get a palindrome (29555988955592).

The spelling of 25351444540240 in words is "twenty-five trillion, three hundred fifty-one billion, four hundred forty-four million, five hundred forty thousand, two hundred forty".