25353044640 has 576 divisors, whose sum is σ = 108718122240. Its totient is φ = 5226577920.

The previous prime is 25353044621. The next prime is 25353044641. The reversal of 25353044640 is 4644035352.

25353044640 is a `hidden beast` number, since 2 + 5 + 3 + 5 + 3 + 0 + 4 + 4 + 640 = 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 = 25353044595 and 25353044604.

It is not an unprimeable number, because it can be changed into a prime (25353044641) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15189726 + ... + 15191394.

It is an arithmetic number, because the mean of its divisors is an integer number (188746740).

Almost surely, 2^25353044640 is an apocalyptic number.

25353044640 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 25353044640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54359061120).

25353044640 is an abundant number, since it is smaller than the sum of its proper divisors (83365077600).

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

25353044640 is a wasteful number, since it uses less digits than its factorization.

25353044640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1845 (or 1834 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 36.

Adding to 25353044640 its reverse (4644035352), we get a palindrome (29997079992).

The spelling of 25353044640 in words is "twenty-five billion, three hundred fifty-three million, forty-four thousand, six hundred forty".