25506660000000 has 1152 divisors, whose sum is σ = 89249115271680. Its totient is φ = 6458368000000.

The previous prime is 25506659999959. The next prime is 25506660000023. The reversal of 25506660000000 is 6660552.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 186179999932 + ... + 186180000068.

It is an arithmetic number, because the mean of its divisors is an integer number (77473190340).

Almost surely, 2^{25506660000000} is an apocalyptic number.

25506660000000 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 25506660000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44624557635840).

25506660000000 is an abundant number, since it is smaller than the sum of its proper divisors (63742455271680).

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

25506660000000 is an frugal number, since it uses more digits than its factorization.

25506660000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

Adding to 25506660000000 its reverse (6660552), we get a palindrome (25506666660552).

The spelling of 25506660000000 in words is "twenty-five trillion, five hundred six billion, six hundred sixty million", and thus it is an aban number.