2768828455512 has 384 divisors, whose sum is σ = 9657179750400. Its totient is φ = 725279184000.

The previous prime is 2768828455501. The next prime is 2768828455529. The reversal of 2768828455512 is 2155548288672.

2768828455512 is a `hidden beast` number, since 2 + 7 + 68 + 8 + 2 + 8 + 4 + 55 + 512 = 666.

It is a super-3 number, since 3×2768828455512³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2768828455512.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7842387 + ... + 8187837.

It is an arithmetic number, because the mean of its divisors is an integer number (25148905600).

Almost surely, 2^{2768828455512} 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 2768828455512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4828589875200).

2768828455512 is an abundant number, since it is smaller than the sum of its proper divisors (6888351294888).

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

2768828455512 is a wasteful number, since it uses less digits than its factorization.

2768828455512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345529 (or 345513 counting only the distinct ones).

The product of its digits is 86016000, while the sum is 63.

The spelling of 2768828455512 in words is "two trillion, seven hundred sixty-eight billion, eight hundred twenty-eight million, four hundred fifty-five thousand, five hundred twelve".