25332306408 has 96 divisors (see below), whose sum is σ = 70528760640. Its totient is φ = 8211006720.

The previous prime is 25332306401. The next prime is 25332306409. The reversal of 25332306408 is 80460323352.

It is a happy number.

25332306408 is a `hidden beast` number, since 2 + 5 + 3 + 3 + 2 + 3 + 0 + 640 + 8 = 666.

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 (25332306401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 339235 + ... + 407117.

It is an arithmetic number, because the mean of its divisors is an integer number (734674590).

Almost surely, 2^25332306408 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 25332306408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35264380320).

25332306408 is an abundant number, since it is smaller than the sum of its proper divisors (45196454232).

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

25332306408 is a wasteful number, since it uses less digits than its factorization.

25332306408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68039 (or 68032 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 25332306408 in words is "twenty-five billion, three hundred thirty-two million, three hundred six thousand, four hundred eight".