25338802320 has 600 divisors, whose sum is σ = 98243821368. Its totient is φ = 6016757760.

The previous prime is 25338802303. The next prime is 25338802327. The reversal of 25338802320 is 2320883352.

It is a happy number.

25338802320 is a `hidden beast` number, since 2 + 533 + 8 + 80 + 23 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1275346944 + 24063455376 = 35712^2 + 155124^2 .

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

It is not an unprimeable number, because it can be changed into a prime (25338802327) 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 119 ways as a sum of consecutive naturals, for example, 80954484 + ... + 80954796.

Almost surely, 2^25338802320 is an apocalyptic number.

25338802320 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 25338802320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49121910684).

25338802320 is an abundant number, since it is smaller than the sum of its proper divisors (72905019048).

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

25338802320 is a wasteful number, since it uses less digits than its factorization.

25338802320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 25338802320 in words is "twenty-five billion, three hundred thirty-eight million, eight hundred two thousand, three hundred twenty".