1980256870656 has 243 divisors, whose sum is σ = 6029796182319. Its totient is φ = 624938996736.

The previous prime is 1980256870651. The next prime is 1980256870667. The reversal of 1980256870656 is 6560786520891.

The square root of 1980256870656 is 1407216.

It is a perfect power (a square), and thus also a powerful number.

1980256870656 is a `hidden beast` number, since 1 + 9 + 8 + 0 + 2 + 568 + 7 + 0 + 65 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1980256870593 and 1980256870602.

It is not an unprimeable number, because it can be changed into a prime (1980256870651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1283380221 + ... + 1283381763.

Almost surely, 2^{1980256870656} is an apocalyptic number.

1980256870656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1980256870656 is the 1407216-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1980256870656

1980256870656 is an abundant number, since it is smaller than the sum of its proper divisors (4049539311663).

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

1980256870656 is an frugal number, since it uses more digits than its factorization.

1980256870656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3146 (or 1567 counting only the distinct ones).

The product of its (nonzero) digits is 43545600, while the sum is 63.

The spelling of 1980256870656 in words is "one trillion, nine hundred eighty billion, two hundred fifty-six million, eight hundred seventy thousand, six hundred fifty-six".