25605449856 has 192 divisors, whose sum is σ = 84983870400. Its totient is φ = 7248476160.

The previous prime is 25605449833. The next prime is 25605449879. The reversal of 25605449856 is 65894450652.

25605449856 is a `hidden beast` number, since 2 + 5 + 6 + 0 + 544 + 98 + 5 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (25605449833) and next prime (25605449879).

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 864411 + ... + 893541.

It is an arithmetic number, because the mean of its divisors is an integer number (442624325).

Almost surely, 2^25605449856 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 25605449856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42491935200).

25605449856 is an abundant number, since it is smaller than the sum of its proper divisors (59378420544).

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

25605449856 is a wasteful number, since it uses less digits than its factorization.

25605449856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29267 (or 29252 counting only the distinct ones).

The product of its (nonzero) digits is 10368000, while the sum is 54.

The spelling of 25605449856 in words is "twenty-five billion, six hundred five million, four hundred forty-nine thousand, eight hundred fifty-six".