25604473440 has 576 divisors, whose sum is σ = 101452248576. Its totient is φ = 5313724416.

The previous prime is 25604473439. The next prime is 25604473459. The reversal of 25604473440 is 4437440652.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 38044944 + ... + 38045616.

It is an arithmetic number, because the mean of its divisors is an integer number (176132376).

Almost surely, 2^25604473440 is an apocalyptic number.

25604473440 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 25604473440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50726124288).

25604473440 is an abundant number, since it is smaller than the sum of its proper divisors (75847775136).

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

25604473440 is a wasteful number, since it uses less digits than its factorization.

25604473440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 791 (or 770 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 39.

The spelling of 25604473440 in words is "twenty-five billion, six hundred four million, four hundred seventy-three thousand, four hundred forty".