2505966216768 has 448 divisors, whose sum is σ = 8704970956800. Its totient is φ = 700743633408.

The previous prime is 2505966216661. The next prime is 2505966216811. The reversal of 2505966216768 is 8676126695052.

It is a happy number.

2505966216768 is a `hidden beast` number, since 2 + 505 + 9 + 6 + 6 + 2 + 1 + 67 + 68 = 666.

2505966216768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 46022263 + ... + 46076681.

Almost surely, 2^{2505966216768} is an apocalyptic number.

2505966216768 is a gapful number since it is divisible by the number (28) 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 2505966216768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4352485478400).

2505966216768 is an abundant number, since it is smaller than the sum of its proper divisors (6199004740032).

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

2505966216768 is an frugal number, since it uses more digits than its factorization.

2505966216768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54506 (or 54478 counting only the distinct ones).

The product of its (nonzero) digits is 65318400, while the sum is 63.

The spelling of 2505966216768 in words is "two trillion, five hundred five billion, nine hundred sixty-six million, two hundred sixteen thousand, seven hundred sixty-eight".