25005362610240 has 224 divisors, whose sum is σ = 88582463424000. Its totient is φ = 6640196161536.

The previous prime is 25005362610223. The next prime is 25005362610257. The reversal of 25005362610240 is 4201626350052.

25005362610240 is a `hidden beast` number, since 2 + 5 + 0 + 0 + 5 + 3 + 626 + 1 + 0 + 24 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (25005362610223) and next prime (25005362610257).

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 = 25005362610195 and 25005362610204.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3989725 + ... + 8119644.

It is an arithmetic number, because the mean of its divisors is an integer number (395457426000).

Almost surely, 2^{25005362610240} is an apocalyptic number.

25005362610240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

25005362610240 is an abundant number, since it is smaller than the sum of its proper divisors (63577100813760).

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

25005362610240 is a wasteful number, since it uses less digits than its factorization.

25005362610240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12109634 (or 12109618 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 25005362610240 its reverse (4201626350052), we get a palindrome (29206988960292).

The spelling of 25005362610240 in words is "twenty-five trillion, five billion, three hundred sixty-two million, six hundred ten thousand, two hundred forty".