25041560544 has 432 divisors, whose sum is σ = 97328453040. Its totient is φ = 6003486720.

The previous prime is 25041560513. The next prime is 25041560573. The reversal of 25041560544 is 44506514052.

25041560544 is a `hidden beast` number, since 2 + 5 + 0 + 4 + 1 + 5 + 605 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 25041560499 and 25041560508.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2011812 + ... + 2024220.

It is an arithmetic number, because the mean of its divisors is an integer number (225297345).

Almost surely, 2^25041560544 is an apocalyptic number.

25041560544 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 25041560544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48664226520).

25041560544 is an abundant number, since it is smaller than the sum of its proper divisors (72286892496).

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

25041560544 is a wasteful number, since it uses less digits than its factorization.

25041560544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12463 (or 12445 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

It can be divided in two parts, 25041 and 560544, that added together give a palindrome (585585).

The spelling of 25041560544 in words is "twenty-five billion, forty-one million, five hundred sixty thousand, five hundred forty-four".