25440538368 has 288 divisors, whose sum is σ = 80304279552. Its totient is φ = 6996787200.

The previous prime is 25440538363. The next prime is 25440538379. The reversal of 25440538368 is 86383504452.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25440538363) 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 31 ways as a sum of consecutive naturals, for example, 48829948 + ... + 48830468.

It is an arithmetic number, because the mean of its divisors is an integer number (278834304).

Almost surely, 2^25440538368 is an apocalyptic number.

25440538368 is a gapful number since it is divisible by the number (28) 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 25440538368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40152139776).

25440538368 is an abundant number, since it is smaller than the sum of its proper divisors (54863741184).

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

25440538368 is a wasteful number, since it uses less digits than its factorization.

25440538368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 871 (or 857 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 48.

The spelling of 25440538368 in words is "twenty-five billion, four hundred forty million, five hundred thirty-eight thousand, three hundred sixty-eight".