7856100016128 has 1428 divisors, whose sum is σ = 29362693190880. Its totient is φ = 2057032433664.

The previous prime is 7856100016097. The next prime is 7856100016133. The reversal of 7856100016128 is 8216100016587.

7856100016128 is a `hidden beast` number, since 7 + 8 + 5 + 610 + 0 + 0 + 1 + 6 + 1 + 28 = 666.

It is a super-4 number, since 4×7856100016128⁴ (a number of 53 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 56518705083 + ... + 56518705221.

Almost surely, 2^{7856100016128} is an apocalyptic number.

7856100016128 is a gapful number since it is divisible by the number (78) 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 7856100016128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14681346595440).

7856100016128 is an abundant number, since it is smaller than the sum of its proper divisors (21506593174752).

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

7856100016128 is an frugal number, since it uses more digits than its factorization.

7856100016128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The spelling of 7856100016128 in words is "seven trillion, eight hundred fifty-six billion, one hundred million, sixteen thousand, one hundred twenty-eight".