25328903040 has 1024 divisors, whose sum is σ = 109983744000. Its totient is φ = 5380743168.

The previous prime is 25328903011. The next prime is 25328903053. The reversal of 25328903040 is 4030982352.

25328903040 is a `hidden beast` number, since 2 + 532 + 8 + 90 + 30 + 4 + 0 = 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 = 25328902986 and 25328903004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 236718667 + ... + 236718773.

It is an arithmetic number, because the mean of its divisors is an integer number (107406000).

Almost surely, 2^25328903040 is an apocalyptic number.

25328903040 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 25328903040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54991872000).

25328903040 is an abundant number, since it is smaller than the sum of its proper divisors (84654840960).

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

25328903040 is a wasteful number, since it uses less digits than its factorization.

25328903040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 25328903040 in words is "twenty-five billion, three hundred twenty-eight million, nine hundred three thousand, forty".