263125677004416 has 256 divisors, whose sum is σ = 784375038720000. Its totient is φ = 86829099724800.

The previous prime is 263125677004391. The next prime is 263125677004423. The reversal of 263125677004416 is 614400776521362.

263125677004416 is a `hidden beast` number, since 2 + 6 + 3 + 1 + 2 + 567 + 70 + 0 + 4 + 4 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 3011960545 + ... + 3012047903.

It is an arithmetic number, because the mean of its divisors is an integer number (3063964995000).

Almost surely, 2^{263125677004416} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 263125677004416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392187519360000).

263125677004416 is an abundant number, since it is smaller than the sum of its proper divisors (521249361715584).

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

263125677004416 is a wasteful number, since it uses less digits than its factorization.

263125677004416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96112 (or 96094 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 54.

The spelling of 263125677004416 in words is "two hundred sixty-three trillion, one hundred twenty-five billion, six hundred seventy-seven million, four thousand, four hundred sixteen".