25344044352 has 252 divisors, whose sum is σ = 80876810560. Its totient is φ = 7581150720.

The previous prime is 25344044351. The next prime is 25344044353.

25344044352 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (25344044351) and next prime (25344044353).

It is a super-2 number, since 2×25344044352² (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

25344044352 is a modest number, since divided by 44352 gives 25344 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25344044351) 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 35 ways as a sum of consecutive naturals, for example, 5503683 + ... + 5508285.

Almost surely, 2^25344044352 is an apocalyptic number.

25344044352 is a gapful number since it is divisible by the number (22) 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 25344044352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40438405280).

25344044352 is an abundant number, since it is smaller than the sum of its proper divisors (55532766208).

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

25344044352 is a wasteful number, since it uses less digits than its factorization.

25344044352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4722 (or 4698 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 36.

It can be divided in two parts, 253440 and 44352, that added together give a palindrome (297792).

The spelling of 25344044352 in words is "twenty-five billion, three hundred forty-four million, forty-four thousand, three hundred fifty-two".