25661655616652 has 72 divisors (see below), whose sum is σ = 51814513033920. Its totient is φ = 10998085845600.

The previous prime is 25661655616651. The next prime is 25661655616669.

It is a happy number.

25661655616652 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (25661655616651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36874823 + ... + 37564289.

It is an arithmetic number, because the mean of its divisors is an integer number (719646014360).

Almost surely, 2^{25661655616652} is an apocalyptic number.

25661655616652 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

25661655616652 is an abundant number, since it is smaller than the sum of its proper divisors (26152857417268).

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

25661655616652 is a wasteful number, since it uses less digits than its factorization.

25661655616652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 689923 (or 689710 counting only the distinct ones).

The product of its digits is 116640000, while the sum is 62.

The spelling of 25661655616652 in words is "twenty-five trillion, six hundred sixty-one billion, six hundred fifty-five million, six hundred sixteen thousand, six hundred fifty-two".