25760280240 has 120 divisors (see below), whose sum is σ = 86542193088. Its totient is φ = 6866979840.

The previous prime is 25760280233. The next prime is 25760280257. The reversal of 25760280240 is 4208206752.

25760280240 is a `hidden beast` number, since 2 + 5 + 7 + 602 + 8 + 0 + 2 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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 = 25760280195 and 25760280204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3070932 + ... + 3079308.

Almost surely, 2^25760280240 is an apocalyptic number.

25760280240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

25760280240 is an abundant number, since it is smaller than the sum of its proper divisors (60781912848).

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

25760280240 is a wasteful number, since it uses less digits than its factorization.

25760280240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12667 (or 12658 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

Adding to 25760280240 its reverse (4208206752), we get a palindrome (29968486992).

The spelling of 25760280240 in words is "twenty-five billion, seven hundred sixty million, two hundred eighty thousand, two hundred forty".