25661013840000 has 5760 divisors, whose sum is σ = 126937127116800. Its totient is φ = 5094835200000.

The previous prime is 25661013839947. The next prime is 25661013840019. The reversal of 25661013840000 is 4831016652.

It is a happy number.

25661013840000 is a `hidden beast` number, since 2 + 5 + 6 + 610 + 1 + 38 + 4 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5760).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 719 ways as a sum of consecutive naturals, for example, 324822959961 + ... + 324822960039.

It is an arithmetic number, because the mean of its divisors is an integer number (22037695680).

Almost surely, 2^{25661013840000} is an apocalyptic number.

25661013840000 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 25661013840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63468563558400).

25661013840000 is an abundant number, since it is smaller than the sum of its proper divisors (101276113276800).

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

25661013840000 is an equidigital number, since it uses as much as digits as its factorization.

25661013840000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

Adding to 25661013840000 its reverse (4831016652), we get a palindrome (25665844856652).

The spelling of 25661013840000 in words is "twenty-five trillion, six hundred sixty-one billion, thirteen million, eight hundred forty thousand".