25823609460 has 768 divisors, whose sum is σ = 97593753600. Its totient is φ = 5645376000.

The previous prime is 25823609459. The next prime is 25823609503. The reversal of 25823609460 is 6490632852.

25823609460 is a `hidden beast` number, since 2 + 582 + 3 + 6 + 0 + 9 + 4 + 60 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 423337830 + ... + 423337890.

It is an arithmetic number, because the mean of its divisors is an integer number (127075200).

Almost surely, 2^25823609460 is an apocalyptic number.

25823609460 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 25823609460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48796876800).

25823609460 is an abundant number, since it is smaller than the sum of its proper divisors (71770144140).

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

25823609460 is a wasteful number, since it uses less digits than its factorization.

25823609460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 25823609460 in words is "twenty-five billion, eight hundred twenty-three million, six hundred nine thousand, four hundred sixty".