25745644288 has 432 divisors, whose sum is σ = 70287878304. Its totient is φ = 9289728000.

The previous prime is 25745644277. The next prime is 25745644289. The reversal of 25745644288 is 88244654752.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (25745644289) 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 47 ways as a sum of consecutive naturals, for example, 102572163 + ... + 102572413.

It is an arithmetic number, because the mean of its divisors is an integer number (162703422).

Almost surely, 2^25745644288 is an apocalyptic number.

25745644288 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 25745644288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35143939152).

25745644288 is an abundant number, since it is smaller than the sum of its proper divisors (44542234016).

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

25745644288 is a wasteful number, since it uses less digits than its factorization.

25745644288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 327 counting only the distinct ones).

The product of its digits is 17203200, while the sum is 55.

The spelling of 25745644288 in words is "twenty-five billion, seven hundred forty-five million, six hundred forty-four thousand, two hundred eighty-eight".