1956978678816 has 288 divisors, whose sum is σ = 6654218376960. Its totient is φ = 557918323200.

The previous prime is 1956978678703. The next prime is 1956978678821. The reversal of 1956978678816 is 6188768796591.

It is a tau number, because it is divible by the number of its divisors (288).

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 47 ways as a sum of consecutive naturals, for example, 19466761 + ... + 19567031.

It is an arithmetic number, because the mean of its divisors is an integer number (23104924920).

Almost surely, 2^{1956978678816} is an apocalyptic number.

1956978678816 is a gapful number since it is divisible by the number (16) 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 1956978678816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3327109188480).

1956978678816 is an abundant number, since it is smaller than the sum of its proper divisors (4697239698144).

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

1956978678816 is a wasteful number, since it uses less digits than its factorization.

1956978678816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100765 (or 100744 counting only the distinct ones).

The product of its digits is 2194698240, while the sum is 81.

The spelling of 1956978678816 in words is "one trillion, nine hundred fifty-six billion, nine hundred seventy-eight million, six hundred seventy-eight thousand, eight hundred sixteen".