25345410120 has 192 divisors, whose sum is σ = 83198606400. Its totient is φ = 6691299840.

The previous prime is 25345410061. The next prime is 25345410179. The reversal of 25345410120 is 2101454352.

25345410120 is a `hidden beast` number, since 2 + 534 + 5 + 4 + 1 + 0 + 120 = 666.

It is an interprime number because it is at equal distance from previous prime (25345410061) and next prime (25345410179).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34577274 + ... + 34578006.

It is an arithmetic number, because the mean of its divisors is an integer number (433326075).

Almost surely, 2^25345410120 is an apocalyptic number.

25345410120 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 25345410120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41599303200).

25345410120 is an abundant number, since it is smaller than the sum of its proper divisors (57853196280).

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

25345410120 is a wasteful number, since it uses less digits than its factorization.

25345410120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1580 (or 1573 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 25345410120 its reverse (2101454352), we get a palindrome (27446864472).

The spelling of 25345410120 in words is "twenty-five billion, three hundred forty-five million, four hundred ten thousand, one hundred twenty".