25033004640 has 1152 divisors, whose sum is σ = 109897482240. Its totient is φ = 5253838848.

The previous prime is 25033004639. The next prime is 25033004651. The reversal of 25033004640 is 4640033052.

25033004640 is a `hidden beast` number, since 250 + 330 + 0 + 46 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 243038829 + ... + 243038931.

It is an arithmetic number, because the mean of its divisors is an integer number (95397120).

Almost surely, 2^25033004640 is an apocalyptic number.

25033004640 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 25033004640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54948741120).

25033004640 is an abundant number, since it is smaller than the sum of its proper divisors (84864477600).

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

25033004640 is a wasteful number, since it uses less digits than its factorization.

25033004640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

Adding to 25033004640 its reverse (4640033052), we get a palindrome (29673037692).

The spelling of 25033004640 in words is "twenty-five billion, thirty-three million, four thousand, six hundred forty".