25355144000 has 112 divisors (see below), whose sum is σ = 63370266960. Its totient is φ = 10048665600.

The previous prime is 25355143993. The next prime is 25355144021. The reversal of 25355144000 is 44155352.

It can be written as a sum of positive squares in 8 ways, for example, as 2857543936 + 22497600064 = 53456^2 + 149992^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 857462 + ... + 886538.

It is an arithmetic number, because the mean of its divisors is an integer number (565805955).

Almost surely, 2^25355144000 is an apocalyptic number.

25355144000 is a gapful number since it is divisible by the number (20) 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 25355144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31685133480).

25355144000 is an abundant number, since it is smaller than the sum of its proper divisors (38015122960).

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

25355144000 is a wasteful number, since it uses less digits than its factorization.

25355144000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29213 (or 29193 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 29.

Adding to 25355144000 its reverse (44155352), we get a palindrome (25399299352).

The spelling of 25355144000 in words is "twenty-five billion, three hundred fifty-five million, one hundred forty-four thousand".