11828020977721 has 9 divisors (see below), whose sum is σ = 12807905448429. Its totient is φ = 10918131939936.

The previous prime is 11828020977709. The next prime is 11828020977749. The reversal of 11828020977721 is 12777902082811.

The square root of 11828020977721 is 3439189.

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

11828020977721 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 8520496782121 + 3307524195600 = 2918989^2 + 1818660^2 .

It is not a de Polignac number, because 11828020977721 - 2¹⁵ = 11828020944953 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11828020978721) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 44577181 + ... + 44841733.

It is an arithmetic number, because the mean of its divisors is an integer number (1423100605381).

Almost surely, 2^{11828020977721} is an apocalyptic number.

11828020977721 is the 3439189-th square number.

11828020977721 is the 1719595-th centered octagonal number.

It is an amenable number.

11828020977721 is a deficient number, since it is larger than the sum of its proper divisors (979884470708).

11828020977721 is an frugal number, since it uses more digits than its factorization.

11828020977721 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 529132 (or 264566 counting only the distinct ones).

The product of its (nonzero) digits is 1580544, while the sum is 55.

The spelling of 11828020977721 in words is "eleven trillion, eight hundred twenty-eight billion, twenty million, nine hundred seventy-seven thousand, seven hundred twenty-one".