25538460192 has 288 divisors, whose sum is σ = 87178291200. Its totient is φ = 7203126528.

The previous prime is 25538460121. The next prime is 25538460203. The reversal of 25538460192 is 29106483552.

25538460192 is a `hidden beast` number, since 2 + 5 + 5 + 38 + 4 + 601 + 9 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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, 4297159 + ... + 4303097.

It is an arithmetic number, because the mean of its divisors is an integer number (302702400).

Almost surely, 2^25538460192 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25538460192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43589145600).

25538460192 is an abundant number, since it is smaller than the sum of its proper divisors (61639831008).

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

25538460192 is an equidigital number, since it uses as much as digits as its factorization.

25538460192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6050 (or 6030 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 25538460192 in words is "twenty-five billion, five hundred thirty-eight million, four hundred sixty thousand, one hundred ninety-two".