1062728883216 has 320 divisors, whose sum is σ = 4095677859840. Its totient is φ = 254800028160.

The previous prime is 1062728883199. The next prime is 1062728883247. The reversal of 1062728883216 is 6123888272601.

1062728883216 is a `hidden beast` number, since 1 + 0 + 6 + 272 + 88 + 83 + 216 = 666.

It is a super-3 number, since 3×1062728883216³ (a number of 37 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 (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 63 ways as a sum of consecutive naturals, for example, 796350 + ... + 1661213.

It is an arithmetic number, because the mean of its divisors is an integer number (12798993312).

Almost surely, 2^{1062728883216} is an apocalyptic number.

1062728883216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1062728883216 is an abundant number, since it is smaller than the sum of its proper divisors (3032948976624).

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

1062728883216 is a wasteful number, since it uses less digits than its factorization.

1062728883216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2457611 (or 2457599 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 1062728883216 in words is "one trillion, sixty-two billion, seven hundred twenty-eight million, eight hundred eighty-three thousand, two hundred sixteen".