25827133248 has 252 divisors, whose sum is σ = 86495249412. Its totient is φ = 7346626560.

The previous prime is 25827133207. The next prime is 25827133271. The reversal of 25827133248 is 84233172852.

25827133248 is a `hidden beast` number, since 2 + 5 + 8 + 271 + 332 + 48 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7808903424 + 18018229824 = 88368^2 + 134232^2 .

It is a tau number, because it is divible by the number of its divisors (252).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6800086 + ... + 6803882.

Almost surely, 2^25827133248 is an apocalyptic number.

25827133248 is a gapful number since it is divisible by the number (28) 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 25827133248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43247624706).

25827133248 is an abundant number, since it is smaller than the sum of its proper divisors (60668116164).

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

25827133248 is a wasteful number, since it uses less digits than its factorization.

25827133248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4070 (or 4050 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The spelling of 25827133248 in words is "twenty-five billion, eight hundred twenty-seven million, one hundred thirty-three thousand, two hundred forty-eight".