1982576641600 has 63 divisors (see below), whose sum is σ = 4878516239011. Its totient is φ = 793008128000.

The previous prime is 1982576641597. The next prime is 1982576641621. The reversal of 1982576641600 is 61466752891.

The square root of 1982576641600 is 1408040.

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

It can be written as a sum of positive squares in 4 ways, for example, as 8124498496 + 1974452143104 = 90136^2 + 1405152^2 .

It is a super-2 number, since 2×1982576641600² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

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, 56304000 + ... + 56339200.

Almost surely, 2^{1982576641600} is an apocalyptic number.

1982576641600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1982576641600 is the 1408040-th square number.

It is an amenable number.

1982576641600 is an abundant number, since it is smaller than the sum of its proper divisors (2895939597411).

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

1982576641600 is an frugal number, since it uses more digits than its factorization.

1982576641600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70424 (or 35208 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 55.

The spelling of 1982576641600 in words is "one trillion, nine hundred eighty-two billion, five hundred seventy-six million, six hundred forty-one thousand, six hundred".