1811796760900 has 405 divisors, whose sum is σ = 4772403424887. Its totient is φ = 596991225600.

The previous prime is 1811796760847. The next prime is 1811796760913. The reversal of 1811796760900 is 90676971181.

The square root of 1811796760900 is 1346030.

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 762614465284 + 1049182295616 = 873278^2 + 1024296^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 27041742667 + ... + 27041742733.

Almost surely, 2^{1811796760900} is an apocalyptic number.

1811796760900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1811796760900 is the 1346030-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1811796760900

1811796760900 is an abundant number, since it is smaller than the sum of its proper divisors (2960606663987).

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

1811796760900 is an frugal number, since it uses more digits than its factorization.

1811796760900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 1143072, while the sum is 55.

The spelling of 1811796760900 in words is "one trillion, eight hundred eleven billion, seven hundred ninety-six million, seven hundred sixty thousand, nine hundred".