25823024640 has 960 divisors, whose sum is σ = 112467801600. Its totient is φ = 5486247936.

The previous prime is 25823024627. The next prime is 25823024641. The reversal of 25823024640 is 4642032852.

25823024640 is a `hidden beast` number, since 2 + 5 + 8 + 2 + 3 + 0 + 2 + 4 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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 = 25823024595 and 25823024604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25823024641) 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, 487226854 + ... + 487226906.

It is an arithmetic number, because the mean of its divisors is an integer number (117153960).

Almost surely, 2^25823024640 is an apocalyptic number.

25823024640 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 25823024640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56233900800).

25823024640 is an abundant number, since it is smaller than the sum of its proper divisors (86644776960).

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

25823024640 is an equidigital number, since it uses as much as digits as its factorization.

25823024640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 25823024640 in words is "twenty-five billion, eight hundred twenty-three million, twenty-four thousand, six hundred forty".