25413104000 has 128 divisors (see below), whose sum is σ = 63470740320. Its totient is φ = 10119014400.

The previous prime is 25413103993. The next prime is 25413104021. The reversal of 25413104000 is 40131452.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3628502 + ... + 3635498.

Almost surely, 2^25413104000 is an apocalyptic number.

25413104000 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 25413104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31735370160).

25413104000 is an abundant number, since it is smaller than the sum of its proper divisors (38057636320).

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

25413104000 is an equidigital number, since it uses as much as digits as its factorization.

25413104000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7253 (or 7231 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 25413104000 its reverse (40131452), we get a palindrome (25453235452).

The spelling of 25413104000 in words is "twenty-five billion, four hundred thirteen million, one hundred four thousand".