1959955200256 has 81 divisors (see below), whose sum is σ = 4156731747889. Its totient is φ = 922152660992.

The previous prime is 1959955200191. The next prime is 1959955200317. The reversal of 1959955200256 is 6520025599591.

The square root of 1959955200256 is 1399984.

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

It can be written as a sum of positive squares in only one way, i.e., 1525916678400 + 434038521856 = 1235280^2 + 658816^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1959955200256.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 380793075 + ... + 380798221.

Almost surely, 2^{1959955200256} is an apocalyptic number.

1959955200256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1959955200256 is the 1399984-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1959955200256

1959955200256 is an abundant number, since it is smaller than the sum of its proper divisors (2196776547633).

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

1959955200256 is an frugal number, since it uses more digits than its factorization.

1959955200256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10344 (or 5166 counting only the distinct ones).

The product of its (nonzero) digits is 10935000, while the sum is 58.

The spelling of 1959955200256 in words is "one trillion, nine hundred fifty-nine billion, nine hundred fifty-five million, two hundred thousand, two hundred fifty-six".