25405982316000 has 4608 divisors, whose sum is σ = 122271516057600. Its totient is φ = 5058256896000.

The previous prime is 25405982315969. The next prime is 25405982316007. The reversal of 25405982316000 is 61328950452.

25405982316000 is a `hidden beast` number, since 2 + 5 + 4 + 0 + 5 + 9 + 8 + 2 + 31 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25405982316007) by changing a digit.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 54872531769 + ... + 54872532231.

It is an arithmetic number, because the mean of its divisors is an integer number (26534617200).

Almost surely, 2^{25405982316000} is an apocalyptic number.

25405982316000 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 25405982316000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61135758028800).

25405982316000 is an abundant number, since it is smaller than the sum of its proper divisors (96865533741600).

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

25405982316000 is a wasteful number, since it uses less digits than its factorization.

25405982316000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 568 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 25405982316000 in words is "twenty-five trillion, four hundred five billion, nine hundred eighty-two million, three hundred sixteen thousand".