25643808368640 has 3072 divisors, whose sum is σ = 117815233536000. Its totient is φ = 5136847994880.

The previous prime is 25643808368587. The next prime is 25643808368663. The reversal of 25643808368640 is 4686380834652.

It is a happy number.

25643808368640 is a `hidden beast` number, since 2 + 5 + 6 + 438 + 0 + 83 + 6 + 86 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (3072).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

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 255 ways as a sum of consecutive naturals, for example, 99781355392 + ... + 99781355648.

It is an arithmetic number, because the mean of its divisors is an integer number (38351313000).

Almost surely, 2^{25643808368640} is an apocalyptic number.

25643808368640 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 25643808368640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58907616768000).

25643808368640 is an abundant number, since it is smaller than the sum of its proper divisors (92171425167360).

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

25643808368640 is a wasteful number, since it uses less digits than its factorization.

25643808368640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 159252480, while the sum is 63.

The spelling of 25643808368640 in words is "twenty-five trillion, six hundred forty-three billion, eight hundred eight million, three hundred sixty-eight thousand, six hundred forty".