25335504320 has 448 divisors, whose sum is σ = 74720378880. Its totient is φ = 7998455808.

The previous prime is 25335504317. The next prime is 25335504329. The reversal of 25335504320 is 2340553352.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25335504329) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 199492097 + ... + 199492223.

It is an arithmetic number, because the mean of its divisors is an integer number (166786560).

Almost surely, 2^25335504320 is an apocalyptic number.

25335504320 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 25335504320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37360189440).

25335504320 is an abundant number, since it is smaller than the sum of its proper divisors (49384874560).

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

25335504320 is a wasteful number, since it uses less digits than its factorization.

25335504320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 32.

The spelling of 25335504320 in words is "twenty-five billion, three hundred thirty-five million, five hundred four thousand, three hundred twenty".