25108413120 has 672 divisors, whose sum is σ = 103966402176. Its totient is φ = 5441126400.

The previous prime is 25108413107. The next prime is 25108413131. The reversal of 25108413120 is 2131480152.

25108413120 is a `hidden beast` number, since 25 + 108 + 413 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 30582310 + ... + 30583130.

It is an arithmetic number, because the mean of its divisors is an integer number (154711908).

Almost surely, 2^25108413120 is an apocalyptic number.

25108413120 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 25108413120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51983201088).

25108413120 is an abundant number, since it is smaller than the sum of its proper divisors (78857989056).

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

25108413120 is a wasteful number, since it uses less digits than its factorization.

25108413120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 929 (or 916 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

Adding to 25108413120 its reverse (2131480152), we get a palindrome (27239893272).

The spelling of 25108413120 in words is "twenty-five billion, one hundred eight million, four hundred thirteen thousand, one hundred twenty".