25303313376 has 288 divisors, whose sum is σ = 80490848256. Its totient is φ = 7475328000.

The previous prime is 25303313369. The next prime is 25303313381. The reversal of 25303313376 is 67331330352.

25303313376 is a `hidden beast` number, since 2 + 5 + 303 + 313 + 37 + 6 = 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 self number, because there is not a number n which added to its sum of digits gives 25303313376.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24541981 + ... + 24543011.

It is an arithmetic number, because the mean of its divisors is an integer number (279482112).

Almost surely, 2^25303313376 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 25303313376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40245424128).

25303313376 is an abundant number, since it is smaller than the sum of its proper divisors (55187534880).

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

25303313376 is a wasteful number, since it uses less digits than its factorization.

25303313376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1246 (or 1235 counting only the distinct ones).

The product of its (nonzero) digits is 102060, while the sum is 36.

The spelling of 25303313376 in words is "twenty-five billion, three hundred three million, three hundred thirteen thousand, three hundred seventy-six".