25012434144 has 96 divisors (see below), whose sum is σ = 67223259936. Its totient is φ = 8140677120.

The previous prime is 25012434131. The next prime is 25012434149. The reversal of 25012434144 is 44143421052.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25012434149) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 786684 + ... + 817860.

It is an arithmetic number, because the mean of its divisors is an integer number (700242291).

Almost surely, 2^25012434144 is an apocalyptic number.

25012434144 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 25012434144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33611629968).

25012434144 is an abundant number, since it is smaller than the sum of its proper divisors (42210825792).

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

25012434144 is a wasteful number, since it uses less digits than its factorization.

25012434144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31388 (or 31380 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 25012434144 its reverse (44143421052), we get a palindrome (69155855196).

The spelling of 25012434144 in words is "twenty-five billion, twelve million, four hundred thirty-four thousand, one hundred forty-four".