25575850460160 has 4752 divisors, whose sum is σ = 128789533454400. Its totient is φ = 4635202682880.

The previous prime is 25575850460159. The next prime is 25575850460197. The reversal of 25575850460160 is 6106405857552.

25575850460160 is a `hidden beast` number, since 2 + 5 + 5 + 7 + 585 + 0 + 46 + 0 + 16 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 25575850460097 and 25575850460106.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 67482454851 + ... + 67482455229.

Almost surely, 2^{25575850460160} is an apocalyptic number.

25575850460160 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 25575850460160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64394766727200).

25575850460160 is an abundant number, since it is smaller than the sum of its proper divisors (103213682994240).

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

25575850460160 is a wasteful number, since it uses less digits than its factorization.

25575850460160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 478 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 10080000, while the sum is 54.

The spelling of 25575850460160 in words is "twenty-five trillion, five hundred seventy-five billion, eight hundred fifty million, four hundred sixty thousand, one hundred sixty".