25575468048 has 120 divisors (see below), whose sum is σ = 78345601880. Its totient is φ = 7740334080.

The previous prime is 25575468029. The next prime is 25575468077. The reversal of 25575468048 is 84086457552.

25575468048 is a `hidden beast` number, since 2 + 5 + 57 + 546 + 8 + 0 + 48 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 260112384 + 25315355664 = 16128^2 + 159108^2 .

It is a junction number, because it is equal to n+sod(n) for n = 25575467985 and 25575468003.

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, 2208 + ... + 226176.

Almost surely, 2^25575468048 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 25575468048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39172800940).

25575468048 is an abundant number, since it is smaller than the sum of its proper divisors (52770133832).

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

25575468048 is a wasteful number, since it uses less digits than its factorization.

25575468048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224057 (or 224048 counting only the distinct ones).

The product of its (nonzero) digits is 10752000, while the sum is 54.

The spelling of 25575468048 in words is "twenty-five billion, five hundred seventy-five million, four hundred sixty-eight thousand, forty-eight".