25685130240 has 1408 divisors, whose sum is σ = 120736972800. Its totient is φ = 5016453120.

The previous prime is 25685130223. The next prime is 25685130271. The reversal of 25685130240 is 4203158652.

25685130240 is a `hidden beast` number, since 2 + 568 + 51 + 3 + 0 + 2 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1408).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 25685130195 and 25685130204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 202245057 + ... + 202245183.

Almost surely, 2^25685130240 is an apocalyptic number.

25685130240 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 25685130240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60368486400).

25685130240 is an abundant number, since it is smaller than the sum of its proper divisors (95051842560).

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

25685130240 is a wasteful number, since it uses less digits than its factorization.

25685130240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

Adding to 25685130240 its reverse (4203158652), we get a palindrome (29888288892).

The spelling of 25685130240 in words is "twenty-five billion, six hundred eighty-five million, one hundred thirty thousand, two hundred forty".