25712238240 has 672 divisors, whose sum is σ = 101430959616. Its totient is φ = 6113802240.

The previous prime is 25712238197. The next prime is 25712238241. The reversal of 25712238240 is 4283221752.

25712238240 is a `hidden beast` number, since 2 + 571 + 2 + 2 + 3 + 82 + 4 + 0 = 666.

It is a super-2 number, since 2×25712238240² (a number of 22 digits) contains 22 as substring.

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 = 25712238195 and 25712238204.

It is not an unprimeable number, because it can be changed into a prime (25712238241) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 47005647 + ... + 47006193.

It is an arithmetic number, because the mean of its divisors is an integer number (150938928).

Almost surely, 2^25712238240 is an apocalyptic number.

25712238240 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 25712238240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50715479808).

25712238240 is an abundant number, since it is smaller than the sum of its proper divisors (75718721376).

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

25712238240 is a wasteful number, since it uses less digits than its factorization.

25712238240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 624 (or 601 counting only the distinct ones).

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

Adding to 25712238240 its reverse (4283221752), we get a palindrome (29995459992).

The spelling of 25712238240 in words is "twenty-five billion, seven hundred twelve million, two hundred thirty-eight thousand, two hundred forty".