549516812256 has 240 divisors, whose sum is σ = 1714650293664. Its totient is φ = 172047753216.

The previous prime is 549516812203. The next prime is 549516812279. The reversal of 549516812256 is 652218615945.

549516812256 is a `hidden beast` number, since 5 + 49 + 516 + 81 + 2 + 2 + 5 + 6 = 666.

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

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 22151796 + ... + 22176588.

Almost surely, 2^549516812256 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 549516812256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (857325146832).

549516812256 is an abundant number, since it is smaller than the sum of its proper divisors (1165133481408).

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

549516812256 is a wasteful number, since it uses less digits than its factorization.

549516812256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25335 (or 25318 counting only the distinct ones).

The product of its digits is 5184000, while the sum is 54.

The spelling of 549516812256 in words is "five hundred forty-nine billion, five hundred sixteen million, eight hundred twelve thousand, two hundred fifty-six".