1061819942800 has 60 divisors (see below), whose sum is σ = 2554176494340. Its totient is φ = 424202844160.

The previous prime is 1061819942773. The next prime is 1061819942891. The reversal of 1061819942800 is 82499181601.

It can be written as a sum of positive squares in 6 ways, for example, as 3522185104 + 1058297757696 = 59348^2 + 1028736^2 .

It is a super-2 number, since 2×1061819942800² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1317037 + ... + 1964236.

It is an arithmetic number, because the mean of its divisors is an integer number (42569608239).

Almost surely, 2^{1061819942800} is an apocalyptic number.

1061819942800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1061819942800 is an abundant number, since it is smaller than the sum of its proper divisors (1492356551540).

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

1061819942800 is a wasteful number, since it uses less digits than its factorization.

1061819942800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3282100 (or 3282089 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 49.

The spelling of 1061819942800 in words is "one trillion, sixty-one billion, eight hundred nineteen million, nine hundred forty-two thousand, eight hundred".