2025965260800 has 936 divisors, whose sum is σ = 8105499589824. Its totient is φ = 498619514880.

The previous prime is 2025965260729. The next prime is 2025965260807. The reversal of 2025965260800 is 80625695202.

2025965260800 is a `hidden beast` number, since 2 + 0 + 2 + 596 + 52 + 6 + 0 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (936).

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

It is not an unprimeable number, because it can be changed into a prime (2025965260807) 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 71 ways as a sum of consecutive naturals, for example, 323478469 + ... + 323484731.

It is an arithmetic number, because the mean of its divisors is an integer number (8659721784).

Almost surely, 2^{2025965260800} is an apocalyptic number.

2025965260800 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 2025965260800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4052749794912).

2025965260800 is an abundant number, since it is smaller than the sum of its proper divisors (6079534329024).

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

2025965260800 is an equidigital number, since it uses as much as digits as its factorization.

2025965260800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6325 (or 6286 counting only the distinct ones).

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

The spelling of 2025965260800 in words is "two trillion, twenty-five billion, nine hundred sixty-five million, two hundred sixty thousand, eight hundred".