25344042100 has 144 divisors (see below), whose sum is σ = 60423851376. Its totient is φ = 9169920000.

The previous prime is 25344042071. The next prime is 25344042103. The reversal of 25344042100 is 124044352.

It is a happy number.

It can be written as a sum of positive squares in 24 ways, for example, as 19911467664 + 5432574436 = 141108^2 + 73706^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25344042103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31798902 + ... + 31799698.

It is an arithmetic number, because the mean of its divisors is an integer number (419610079).

Almost surely, 2^25344042100 is an apocalyptic number.

25344042100 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 25344042100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30211925688).

25344042100 is an abundant number, since it is smaller than the sum of its proper divisors (35079809276).

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

25344042100 is a wasteful number, since it uses less digits than its factorization.

25344042100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1286 (or 1279 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

Adding to 25344042100 its reverse (124044352), we get a palindrome (25468086452).

The spelling of 25344042100 in words is "twenty-five billion, three hundred forty-four million, forty-two thousand, one hundred".