25574250240 has 648 divisors, whose sum is σ = 111196167264. Its totient is φ = 5312102400.

The previous prime is 25574250199. The next prime is 25574250259. The reversal of 25574250240 is 4205247552.

25574250240 is a `hidden beast` number, since 25 + 57 + 42 + 502 + 40 = 666.

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 = 25574250195 and 25574250204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9756130 + ... + 9758750.

Almost surely, 2^25574250240 is an apocalyptic number.

25574250240 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 25574250240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55598083632).

25574250240 is an abundant number, since it is smaller than the sum of its proper divisors (85621917024).

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

25574250240 is a wasteful number, since it uses less digits than its factorization.

25574250240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2677 (or 2649 counting only the distinct ones).

The product of its (nonzero) digits is 112000, while the sum is 36.

Adding to 25574250240 its reverse (4205247552), we get a palindrome (29779497792).

The spelling of 25574250240 in words is "twenty-five billion, five hundred seventy-four million, two hundred fifty thousand, two hundred forty".