25753282560 has 480 divisors, whose sum is σ = 94005311400. Its totient is φ = 6741688320.

The previous prime is 25753282559. The next prime is 25753282561. The reversal of 25753282560 is 6528235752.

25753282560 is a `hidden beast` number, since 2 + 5 + 7 + 5 + 3 + 2 + 82 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (25753282559) and next prime (25753282561).

It can be written as a sum of positive squares in 4 ways, for example, as 17627341824 + 8125940736 = 132768^2 + 90144^2 .

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a zygodrome in base 4.

It is not an unprimeable number, because it can be changed into a prime (25753282561) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 50595586 + ... + 50596094.

Almost surely, 2^25753282560 is an apocalyptic number.

25753282560 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 25753282560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47002655700).

25753282560 is an abundant number, since it is smaller than the sum of its proper divisors (68252028840).

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

25753282560 is an equidigital number, since it uses as much as digits as its factorization.

25753282560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 609 (or 580 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 45.

The spelling of 25753282560 in words is "twenty-five billion, seven hundred fifty-three million, two hundred eighty-two thousand, five hundred sixty".