25323419232 has 288 divisors, whose sum is σ = 80610193440. Its totient is φ = 7727063040.

The previous prime is 25323419201. The next prime is 25323419243. The reversal of 25323419232 is 23291432352.

25323419232 is a `hidden beast` number, since 2 + 5 + 3 + 2 + 3 + 419 + 232 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9237382 + ... + 9240122.

It is an arithmetic number, because the mean of its divisors is an integer number (279896505).

Almost surely, 2^25323419232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25323419232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40305096720).

25323419232 is an abundant number, since it is smaller than the sum of its proper divisors (55286774208).

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

25323419232 is a wasteful number, since it uses less digits than its factorization.

25323419232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2831 (or 2800 counting only the distinct ones).

The product of its digits is 77760, while the sum is 36.

The spelling of 25323419232 in words is "twenty-five billion, three hundred twenty-three million, four hundred nineteen thousand, two hundred thirty-two".